Set 14: Linear Inequalities

Explanation

Answer: A

Solve: $2x + 5 < 11$

$x < 3$

✓ Correct

$x > 3$

$x < 8$

$x > 8$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Solve the inequality step by step. 1. Subtract 5: $2x < 6$ 2. Divide by 2: $x < 3$ Strategic Tip: Treat inequalities like equations, but remember to flip the sign when multiplying or dividing by a negative number. Choice B is incorrect because it has the wrong inequality direction. Choice C is incorrect because it forgot to divide by 2. Choice D is incorrect because it has both wrong direction and wrong value.

Key Steps:

•

The correct answer is $x < 3$

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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