Chapter 0.6, Problem 24E

To determine

To solve the equation $-\frac{4}{5}k-17>11$

Answer to Problem 24E

  $k<-35$

Explanation of Solution

Given Information: $-\frac{4}{5}k-17>11$

Formula Used : Linear inequality with one variable

Calculation:

Given equation is

  $-\frac{4}{5}k-17>11$

To isolate the variable k, adding 17 both sides-

  $-\frac{4}{5}k-17+17>11+17$

This gives-

  $-\frac{4}{5}k>28$

To isolate the variable k, multiply by $\frac{5}{4}$ both sides-

  $-\frac{4}{5}k\times \frac{5}{4}>28\times \frac{5}{4}$

This gives-

  $-k>35$

To isolate the variable a, multiply by $-1$ both sides and the inequality sign changes-

  $k<-35$

Hence the final answer is,

  $k<-35$