3

Set 7: Linear Inequalities (Advanced)

Explanation

Answer: A

Which value satisfies 2x>82x > 8 and x3<4x - 3 < 4?

A.

55

✓ Correct
B.

44

C.

77

D.

33

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Solve both and find the overlap. 1. First: 2x>8x>42x > 8 \rightarrow x > 4 2. Second: x3<4x<7x - 3 < 4 \rightarrow x < 7 3. Combined: 4<x<74< x < 7 4. Test Choices: We need a number strictly between 4 and 7. Only 5 works. Strategic Tip: "And" means the value must satisfy BOTH conditions simultaneously. Choice B is incorrect because 4 is not greater than 4 (boundary). Choice C is incorrect because 7 is not less than 7 (boundary). Choice D is incorrect because 3 is not greater than 4.

Key Steps:

The correct answer is 55

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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