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

Feb 18, 2016

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

a) 2x + 6 ≤ -4x - 4
b) $- 3 \left(- 2 + 4 x\right) > \frac{2 x + 5}{6}$