5
algebra

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

A

55

B

44

C

77

D

33

Correct Answer: A

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.