2

Set 4: Linear Inequalities (Intermediate)

Explanation

Answer: B

Which inequality represents "xx is less than or equal to 8"?

A.

x<8x < 8

B.

x8x \leq 8

✓ Correct
C.

x>8x > 8

D.

x8x \geq 8

Detailed Explanation

Choice B is correct. Choice B is the correct answer. Translating words to inequality symbols is fundamental to problem-solving. 1. "Less than": Use << symbol 2. "Or equal to": Add the equal part: \leq 3. Result: x8x \leq 8 Strategic Tip: Break down phrases: "less than" = <<, "greater than" = >>, "or equal to" adds the equal bar underneath. Choice A is incorrect because << represents "less than" only, excluding the "or equal to" part. Choice C is incorrect because it reverses to "greater than", opposite of the given phrase. Choice D is incorrect because it both reverses the direction and conflicts with "less than".

Key Steps:

The correct answer is x8x \leq 8

Why others are wrong:
A: Choice A 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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