# Inequality Expressions

### Topic Page

Inequality Expressions### Questions

- What are Inequalities?
- How does a linear inequality different from a linear equation?
- How do you graph an inequality on a number line?
- What are the different inequality notations?
- What is the difference between > and #>=#?
- What is the difference between set notation and interval notation?
- How do you graph #t>3# on a number line?
- What does #[3, oo)# mean?
- How do you graph #x \le 8#?
- How do you write #x > -17# as a set notation and interval notation?
- How do you write the inequality for "Josephine sleeps more than 7 hours each night"?
- How do you write the inequality for "In 1955, the minimum wage in the U.S was $0.75 per hour"?
- How do you graph the following inequality?: x + 4 < 2 or x - 4 > -1?
- What is x if #5/(x+3) ≥ 3/x?#
- What are the boundaries of x if #(2x-1)/(x+5) >= (x+2)/(x+3)?#
- The Valley Inn charges $17.50 per person and a $100 service fee. How do you write an inequality that shows the number of persons who can attend a wedding reception on a $1500 budget?
- Papa's Pizza offers a party $4 per child with a $40 fee for the cake and playground supervisor. How do you write and solve an inequality that shows the number of children who can attend on a $76 budget?
- Question #462be
- How do you use inequality notation to describe all the x in the interval (-2,4]?
- How do you write the following in interval notation: #x>3# and #x ≤ 7#?
- How do you write the following in interval notation: #4 >x# OR #3 > x#?
- How do you write the following in interval notation: #x ≤ -3# AND #x> -10#?
- How do you write the following in interval notation: #x>2# OR #5>x#?
- How do you write the following in interval notation: #x >2# AND #5 >x#?
- How do you write the following in interval notation: #x >2# OR #5<x#?
- How do you solve and write the following in interval notation: #x − 3>8# AND #x + 2 >#?
- How do you solve and write the following in interval notation: #7 ≥ x + 4# OR #x − 3 <2#?
- How do you solve and write the following in interval notation: #x / 2 ≤ -3# AND #x − 5<2#?
- How do you solve and write the following in interval notation: #-3 ≤ (x + 4) / 3 <-1#?
- How do you solve and write the following in interval notation: #7 ≥ 2x − 5# OR #(3x − 2) / 4>4#?
- How do you solve and write the following in interval notation: #4 ≤ 3 − x <8#?
- How do you solve and write the following in interval notation: #x - 48/x < -8#?
- How do you write the interval (1, 2) as an inequality involving x and show each inequality using the real number line?
- How do you write the interval (-infinity, 2] as an inequality involving x and show each inequality using the real number line?
- How do you write the interval [3, 4] as an inequality involving x and show each inequality using the real number line?
- How do you write the interval [5, +infinity) as an inequality involving x and show each inequality using the real number line?
- How do you write the interval (-∞, -3) U (-3, ∞) as an inequality involving x and show each inequality using the real number line?
- How do you graph the inequality #x<=5#?
- How do you express intervals as inequalities such as [-2,9]?
- How do you express intervals as inequalities such as (-4,-2)?
- How do you express intervals as inequalities such as [3,8)?
- How do you graph #x< –2#?
- How do you write the inequality and solve given "the sum of a number and -2 is no more than 6"?
- How do you write the inequality and solve given "A number decreased by 4 is more than -1"?
- How do you write the inequality and solve given "twice a number increased by 3 is less than the number decreased by 4"?
- How do you write the inequality and solve given "three times a number increased by 8 is no more than the number decreased by 4"?
- How do you write the inequality and solve given "two thirds of a number plus 5 is greater than 12"?
- How do you write an inequality and solve given "three fourths of a number decreased by nine is at least forty two"?
- How do you write an inequality and solve given "two thirds of a number added to six is at least twenty two"?
- How do you write an inequality and solve given "seven tenths of a number plus 14 is less than forty nine"?
- How do you write an inequality and solve given "eight times a number minus twenty seven is no more than the negative of that number plus eighteen"?
- How do you write an inequality and solve given "three times the sum of a number and seven is greater than five times the number less thirteen"?
- How do you write an inequality and solve given "the sum of nine times a number and fifteen is less than or equal to the sum of twenty four and ten times the number"?
- How do you write an inequality and solve given "the sum of a number and -4 is at least 8"?
- How do you write an inequality and solve given "a number decreased by 8 is less than 21"?
- How do you write an inequality and solve given "twice a number is more than the sum of that number and 9"?
- How do you write an inequality and solve given "the sum of twice a number and 5 is at most 3 less than the number"?
- How do you solve #7( x - 4) \leq 0#?
- Question #2d8d7
- How do you give one value that makes the inequality #p/8 -2 >6#?
- Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200 at the end of the summer. He withdraws $25 per week for food, clothing, and movie tickets. How many weeks can Keith withdraw money from his account?
- How do you write an absolute value inequality that represents all real numbers less than 3 units from 0?
- How do you write Seven less than 4 times a number is at most 44 and at least -24?
- At your job, you are paid $50 per week plus $3 per sale. At least how many sales do you need to make in order to have over $250?
- How do you write the expression for: A number p is no greater than -6?
- How do you graph the inequality on a number line #y> -1#?
- How do you tell whether the given value r=8 is a solution to #r-3<=9#?
- How do you verify if h=-5 is a solution to #4h> -12#?
- How do you write a compound inequality to represent the scenario. You'll need to bring at least $15 to the movies but you won't need more than $25. Let m represent the money brought to the movies?
- How do you write the expression: Half of a number decreased by 7 is at least 5?
- In order to receive on an essay, no lower than an 82% a B the grade must be and no higher than an 89%. How do you write a compound inequality to represent the range of scores to earn a B on the essay?
- How do you find a real-life situation that you could represent with the inequality #-2<x<8#?
- Vance wants to have pictures framed. Each frame and mat costs $32 and he has at most $150 to spend. How do you write and solve an inequality to determine the number of pictures he can have framed?
- How do you write the expression for "A number decreased by 17 is less -4" than or equal to -4"?
- How do you solve #x-35>15#?
- How do you write the expression for A number y added to 2 is greater than 7?
- Which graph best represents the solution set for the inequality #x>sqrt2#?
- How do you write an inequality that expresses the reason the lengths 5 feet, 10 feet, and 20 feet could not be used to make a triangle?
- Lionel wants to buy a belt that costs $22. He also wants to buy some shirts that are on sale for $17 each. He has $80. What inequality can you write to find the number of shirts he can buy?
- How do you write the expression for All real numbers that are less than 6 and greater than 2?
- How do you write an inequality for the following statement. 3 is less than or equal to x?
- You have $60 to buy fish for a 30-gallon aquarium. Each angelfish costs $12 and needs at least 6 gallons of water. Each neon tetra costs $3 and at needs least 3 gallons of water. How many of each kind of fish can you buy?
- A bag contains 100 marbles, some contains red, the rest blue. If there are no more than 1 times as many red marbles as blue ones in the bag, at most how many red marbles are in the bag? At least how many blue ones are in the bag?
- Josephine started a business selling cosmetics. She spent $4500 to obtain her merchandise, and it costs her S200 per week for general expenses. She earns $550 per week in sales. What is the minimum number of weeks it will take to make a profit?
- The length of a rectangle is three times its width. If the perimeter is at most 112 centimeters, what is the greatest possible value for the width?
- How do you graph #5>=a#?
- How do you graph #x< -0.5#?
- How do you solve #12<8+x#?
- You want to decorate a party hall with a total of at least 40 red and yellow balloons, with a minimum of 25 yellow balloons. How do you write and graph a system of inequalities to model the situation?
- Hugh has to earn at least $400 to meet his fundraising goal. He has only 100 books that he plans to sell at $8 each. Which inequality shows the number of books, x, Hugh can sell to meet his goal?
- SALES Ling can spend no more than $120 at the summer sale of a department store. She wants to buy shirts on sale for $15 each. How do you write and solve an inequality to determine the number of shirts she can buy?
- How do you describe a real-life situation that you could represent with the inequality #-2<x<8#?
- The high soccer team can have no more than 26 players. How do you write and solve an inequality to determine how many more players can make the team if the coach has already chosen 17 players?
- Amy and Dex are going to a play. Dex wants to have at least $65 in his wallet. He currently has $10. How do you write and solve an inequality to find how much more cash Dex should put in his wallet?
- Alfonso earns $9.00 per hour working part-time as a lab technician. He wants to earn more than $144 this week. At least how many hours does Alfonso have to work?
- How do you write: The quotient of a number and -5 increased by one is at most 7?
- Nate has scores of 85, 91, 89, and 93 on four tests. What is the least number of points he can get on the fifth test to have an average of at least 90?
- If -1/5 of a number n is at most 21, what are the possible values of n? How do you write and solve an inequality to find n?
- A killer whale has eaten 75 pounds of fish today. It needs to eat at least 140 pounds of fish each day A bucket holds 15 pounds of fish. Identify an inequality that represents how many more buckets z of fish the whale needs to eat?
- A killer whale has eaten 75 pounds of fish today. It needs to eat at least 140 pounds of fish each day A bucket holds 15 pounds of fish. Identify an inequality that represents how many more buckets z of fish the whale needs to eat?
- Question #e9a06
- What inequality represents a temperature that is equal to or less than 42?
- Is the ordered pair (3,13) a solution to the inequality: #y >2x+ 1#?
- How do you express the solution set of the inequality in interval notation and graph the interval of #x>7/4#?
- You have $60.00 in your wallet and want to buy some new CDs. If the CDs are $11.00 each, what number of CDs, x, can you buy? How do you write and solve an inequality?
- How do you write the interval #(11,oo)# as an inequality?
- Thelma and Laura start a lawn-mowing business and buy a lawnmower for $225. They plan to charge $15 to mow one lawn. What is the minimum number of lawns they need to mow if they wish to earn a profit of at least $750?
- How do you graph #x> -3#?
- How do you write and solve an inequality represents the values of x for which the area of the rectangle will be at least 35 square feet?
- Seven less than the product of twice a number is greater than 5 more an the same number. Which integer satisfies this inequality?
- You make $5 an hour in tips working at a video store and $7 an hour in tips working landscaping company. You must work at least 4 hours per week at the video store, and the total number of hours you work at both jobs in a week cannot be greater than 15?
- Your local bank offers free checking for accounts with a balance of at least $500. Suppose you have a balance of $516.46 and you write a check for $31.96. How much do you need to deposit to avoid being charged a service fee?
- How do you graph #x>=5# on the number line?
- How do you write the interval notation for #-4<=y< -1#?
- Suppose you had d dollars in your bank account. You spent $21 but have at least $53 left. How much money did you have initially? How do you write and solve an inequality that represents this situation?
- In the equation #x+y=5#, the value for x is a whole number greater than 2 but less than 6. How do you determine the possible solutions for y?
- (6, n) is a solution to the inequality #y+3<= (x-4)#. Is 3 a possible value for n?
- Question #670c5
- Question #60590
- Question #48a3d
- Question #91f30
- You have $47 to spend at the music store. Each cassette tape costs $5 and each D costs $10. If #x# represents the number of tapes and # y # the number of CDs, what is the linear inequality that represents this situation?
- Show that?: # |x| -|y| le |x-y| #
- Question #ee6b1
- The mad hatter wishes to by some cases of tea. He has 200 gold coins and a case of 500 tea bags costs 15 gold coins. How many cases of tea can he buy?
- Question #78c75
- Question #397aa
- Question #f06ea
- Proving an inequality?
- Question #a484e
- Question #4c249
- Question #0044d
- Question #114fc
- How do you graph #y > 2x - 5#?
- How do you solve #abs(2x+3)+4=5x#?
- Question #87b8a
- Question #44ead
- Solve the equation #x^2+5x+4 ge 0 #?
- Question #897bf