6

Set 2: Linear Inequalities (Advanced)

Explanation

Answer: B

PROBLEM

Solve: 4 - x > -2 AND x - 3 < 5. What is the solution?

Solve: 4 - x > -2 AND x - 3 < 5. What is the solution?

A.

x > -2

B.

-2 < x < 6

✓ Correct
C.

x < 8

D.

x < 6

Detailed Explanation

Choice B is the best answer. x < 6 AND x < 8. Combined: x < 6. With x > -2: -2 < x < 6

Why others are wrong:
A: x > -2 is incorrect because it does not satisfy the equation.
C: x < 8 is incorrect because it does not satisfy the equation.
D: x < 6 is incorrect because it does not satisfy the equation.