6

Set 3: Linear Inequalities (Advanced)

Explanation

Answer: C

PROBLEM

Solve: 4x + 12 >= 0 AND 3x - 15 <= 0. What is the solution?

Solve: 4x + 12 >= 0 AND 3x - 15 <= 0. What is the solution?

A.

x = 1

B.

x >= -3

C.

-3 <= x <= 5

✓ Correct
D.

x <= 5

Detailed Explanation

Choice C is the best answer. x >= -3 AND x <= 5

Why others are wrong:
A: x = 1 is incorrect because it does not satisfy the equation.
B: x >= -3 is incorrect because it does not satisfy the equation.
D: x <= 5 is incorrect because it does not satisfy the equation.