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Chapter 14: Problem 2

\(x \neq 0\) Quantity \(\mathbf{A}\) \(\frac{x}{10}\) Quantity \(\mathbf{B}\) \(\frac{\frac{x}{5}}{2}\) a. Quantity A is greater. b. Quantity B is greater. c. The two quantities are equal. d. The relationship cannot be determined from the information given.

Short Answer

Expert verified
c. The two quantities are equal.

Step by step solution

01

Simplify Quantity A

Quantity A is already in its simplest form and it equals \(\frac{x}{10}\).
02

Simplify Quantity B

Quantity B equals \(\frac{\frac{x}{5}}{2}\). Simplify the fraction in the numerator first which gives \(\frac{x}{5}\). Then divide this by 2 which equals \(\frac{x}{10}\).
03

Compare quantity A and B

Now both quantities are in the same form: \(\frac{x}{10}\). Since they are equal, the answer is c. The two quantities are equal.

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