4

Set 8: Linear Inequalities (Intermediate)

Explanation

Answer: A

Solve: 52x>115- 2x > 11

A.

x<3x < -3

✓ Correct
B.

x>3x > -3

C.

x<3x < 3

D.

x>3x > 3

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Solve carefully. 1. Subtract 5: 2x>6-2 x > 6 2. Divide by -2: x<3x < -3 (flip the sign!) Strategic Tip: Always flip when dividing by negative. Choice B is incorrect because forgot to flip. Choice C is incorrect because wrong value. Choice D is incorrect because wrong value and direction.

Key Steps:

The correct answer is x<3x < -3

Why others are wrong:
B: Choice B is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.

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