Question

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

Answer 1

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!