MultiStep Inequalities
Add yours
Sorry, we don't have any videos for this topic yet.
Let teachers know you need one by requesting it
Key Questions

Answer:
Inequalities are very tricky.
Explanation:
When solving a multi step equation, you use PEMDAS (parentheses, exponents, multiplication, division, add, subtract), and you also use PEMDAS when solving a multi step inequality. However, inequalities are tricky in the fact that if you multiply or divide by a negative number, you must flip the sign. And while normally there are 1 or 2 solutions to a multi step equation, in the form of x= #, you'll have the same thing, but with an inequality sign (or signs).

I would start with arranging terms so that all variables are on one side.
I hope that this was helpful.

Answer:
#There are generally 3 methods to solve inequalities
Explanation:
We can usually solve inequalities by 3 ways:
 By algebraic method
Example 1: Solve: 2x  7 < x  5
2x  x < 7  5
x < 2  By the numberline method.
Example 2. Solve#f(x) = x^2 + 2x  3 < 0#
First, solve f(x) = 0. There are 2 real roots x1 = 1, and x2 =  3.
Replace x = 0 into f(x). We find f(0) =  3 < 0. Therefor, the origin O is located inside the solution set.
Answer by interval: ( 3, 1)
  3 ++++++++ 0 ++++ 1 
3.By graphing method.
Example 2. Solve:#f(x) = x^2 + 2x  3 < 0# .
The graph of f(x) is an upward parabola (a > 0), that intersects the xaxis at x1 = 1 and x2 =  3. Inside the interval (3, 1), the parabola stays below the xaxis > f(x) < 0.
Therefor, the solution set is the open interval (3, 1)
graph{x^2 + 2x  3 [10, 10, 5, 5]}  By algebraic method

Suppose we're solving in
#\mathbb{R}# #0x=1 \Rightarrow S = \emptyset# #0x=0 \Rightarrow S = \mathbb{R}#
Questions
Linear Inequalities and Absolute Value

1Inequality Expressions

2Inequalities with Addition and Subtraction

3Inequalities with Multiplication and Division

4MultiStep Inequalities

5Compound Inequalities

6Applications with Inequalities

7Absolute Value

8Absolute Value Equations

9Graphs of Absolute Value Equations

10Absolute Value Inequalities

11Linear Inequalities in Two Variables

12Theoretical and Experimental Probability