How do you solve the inequality # x + 5 ≥ 2x + 1# and #-4x <-8# ?

1 Answer
Feb 18, 2016

Answer:

I will solve the first inequality for you and leave the other for you to practice your newfound skill with.

Explanation:

#x + 4 ≥ 2x + 1#

#x - 2x ≥ 1 - 4#

With in equations, always remember that when you multiply or divide by a negative number, you must switch the inequality sign's direction.

#-x ≥ -3#

#x ≤ 3#

Here is the graph of the inequality on a number line.

Practice exercises

  1. Try your second inequality.

  2. Solve and graph the following inequalities.

a) #2x + 6 ≤ -4x - 4#

b) #-3(-2 + 4x) > (2x + 5)/6#

Good luck!