# How do you solve the inequality #2x – 5< –5# or #2x + 2>4#?

##### 1 Answer

x<0 or x>1

#### Explanation:

This is a compound inequality with an OR condition - so there are two conditions. This means that when we solve for x, it can *either* satisfy the first condition (the first inequality) OR the second condition (the second inequality), OR both.

Let's solve the first inequality for

First we add

Then, we divide by

Let's solve the second inequality for

First, we subtract

Then, we divide by

So here are our solutions for

This means that any values between 0 and 1 (inclusive) will not satisfy either inequality. There are no common values of x that satisfy BOTH inequalities, which may happen in other cases.