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.