Question

Solve for the value of y in the following absolute value inequality.

Answer 1

A

Explanation:

Pre-Solving

We are given the following inequality:

|y| - 8 ≥ 12

We want to solve the value of y in it.

Solving

To start, we can add 8 to both sides.

We get:

|y| ≥ 20

Now, we can split this into two inequalities:

y ≥ 20

y ≤ -20

These inequalities will have OR between them, as we can see the absolute value inequality uses the ≥ sign, and we can use the 'greatOR' trick to remember that we need to use OR.

So:
Our answer is y ≥ 20 OR y ≤ -20, which is A.