Question

Solve for x .

23≥3x−4 or 32<3x−4
Responses

9 12 or x≤9

Answer 1

1. x≤9
2. x>12

Explanation:

1. Rewrite so x is on the left side of the inequality.

3x−4≤23

Move all terms not containing x to the right side of the inequality.

3x≤27

Divide each term in 3x≤27 by 3 and simplify.

x≤9

2. Rewrite so x is on the left side of the inequality.

3x-4>32

Move all terms not containing x to the right side of the inequality.

3x>36

Divide each term in 3x>36 by 3 and simplify.

x>12