6
algebra

Solve: 12<x4<32\frac{1}{2} < \frac{x}{4} < \frac{3}{2}

A

2<x<62 < x < 6

B

2<x<32 < x < 3

C

1<x<31 < x < 3

D

4<x<64 < x < 6

Correct Answer: A

Choice A is the correct answer. Multiply all parts by 4.

  1. Multiply: 4(12)<x<4(32)4(\frac{1}{2}) < x < 4(\frac{3}{2})
  2. Simplify: 2<x<62 < x < 6

?�� Strategic Tip: Clear the denominator of the variable term.

Choice B is incorrect because it fails to multiply the right side correctly. Choice C is incorrect because it fails to multiply correctly. Choice D is incorrect because it multiplies incorrectly.