Set 15: Linear Inequalities (Intermediate)

Explanation

Answer: A

Solve: $4x - 7 \leq 9$

$x \leq 4$

✓ Correct

$x \geq 4$

$x \leq 0.5$

$x \geq 0.5$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Solve step by step. 1. Add 7: $4x \leq 16$ 2. Divide by 4: $x \leq 4$ Strategic Tip: Since we divided by a positive number, the inequality direction stays the same. Choice B is incorrect because it has the wrong direction. Choice C is incorrect because it results from an error in the solution process. Choice D is incorrect because it results from an error in the solution process.

Key Steps:

•

The correct answer is $x \leq 4$

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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