2

Set 3: Linear Inequalities (Advanced)

Explanation

Answer: D

PROBLEM

Solve: 3x - 6 <= 12 AND 2x + 4 >= 8. How many integer solutions?

Solve: 3x - 6 <= 12 AND 2x + 4 >= 8. How many integer solutions?

A.

4

B.

6

C.

7

D.

5

✓ Correct

Detailed Explanation

Choice D is the best answer. x <= 6 AND x >= 2. Solutions: 2, 3, 4, 5, 6 = 5

Why others are wrong:
A: 4 is incorrect because it does not satisfy the equation.
B: 6 is incorrect because it does not satisfy the equation.
C: 7 is incorrect because it does not satisfy the equation.