9

Set 3: Linear Inequalities (Intermediate)

Explanation

Answer: C

PROBLEM

Solve: 2x - 3 < x + 5 AND x >= 1. How many integer solutions?

Solve: 2x - 3 < x + 5 AND x >= 1. How many integer solutions?

A.

6

B.

8

C.

7

✓ Correct
D.

5

Detailed Explanation

Choice C is the best answer. x < 8 AND x >= 1. Solutions: 1-7

Why others are wrong:
A: 6 is incorrect because it does not satisfy the equation.
B: 8 is incorrect because it does not satisfy the equation.
D: 5 is incorrect because it does not satisfy the equation.