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2

Set 1: Linear Inequalities (Advanced)

Explanation

Answer: B

PROBLEM

Solve: 2x + 3 > 5 AND 3x - 6 < 12. How many integer solutions?

Solve: 2x + 3 > 5 AND 3x - 6 < 12. How many integer solutions?

A.

3

B.

4

✓ Correct
C.

6

D.

5

Detailed Explanation

Choice B is the best answer. x > 1 AND x < 6. Solutions: 2, 3, 4, 5

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