Question

Solve the compound inequality and graph the solutions.

-10<2x – 10 <30
The solutions to the compound inequality are

Answer 1

For compund inequalities you will have to separate both sides of the inequality into different equations so you can later plug it in.

For Example:

-10 ≤2x-10 Would be 0 ≤x

Add 10 on both sides, end up with 0≤2x then divide by 2 on both sides and end up with 0≤x

2x-10 ≤30 Would be x ≤20

Add 10 on both sides end up with 2x≤40 divide by 2 on both sides and end up with x≤20

So the answer would be 0 ≤ x ≤ 20

Answer 2

0 ≤ x ≤ 20.

Explanation:

-10≤2x – 10 ≤30

2x - 10 ≤ 30

2x ≤ 40

x ≤ 20.

2x - 10 ≥ -10

2x ≥ 0

x ≥ 0.