1

Set 3: Linear Inequalities (Intermediate)

Explanation

Answer: B

PROBLEM

Solve: 2x + 1 > x + 6 AND x <= 10. How many integer solutions?

Solve: 2x + 1 > x + 6 AND x <= 10. How many integer solutions?

A.

5

B.

4

✓ Correct
C.

6

D.

3

Detailed Explanation

Choice B is the best answer. x > 5 AND x <= 10. Solutions: 6, 7, 8, 9, 10... 5 solutions

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