Chapter 11.1, Problem 4WE

To determine

The proper sign to make given statement correct.

Answer to Problem 4WE

The correct statement is $-\frac{7}{8}<-\frac{5}{6}$ .

Explanation of Solution

Given statement:

  $-\frac{7}{8}\_\_\_\_-\frac{5}{6}$

Calculation:

From the given statement, we have to identify the first number is <,=,> the second number.

Formula:

  $\begin{array}{l}\frac{a}{c}>\frac{b}{d},\left(\text{if }ad>bd\right),\\ \frac{a}{c}<\frac{b}{d},\left(\text{if }ad<bd\right)\end{array}$

Now,

  $\begin{array}{l}-\frac{7}{8}\_\_\_\_-\frac{5}{6}\\ -7\times 6\_?\_-5\times 8\\ -42<-40\end{array}$

Therefore,

  $-\frac{7}{8}<-\frac{5}{6}$

The correct statement is $-\frac{7}{8}<-\frac{5}{6}$ .