9

Set 5: Linear Inequalities (Intermediate)

Explanation

Answer: D

PROBLEM

Solve: 3x + 9 <= x + 19 AND x >= 2. How many integer solutions?

Solve: 3x + 9 <= x + 19 AND x >= 2. How many integer solutions?

A.

5

B.

3

C.

6

D.

4

✓ Correct

Detailed Explanation

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

Why others are wrong:
A: 5 is incorrect because it does not satisfy the equation.
B: 3 is incorrect because it does not satisfy the equation.
C: 6 is incorrect because it does not satisfy the equation.