Chapter 12.1, Problem 47CCR

To determine

To solve: the inequality.

Answer to Problem 47CCR

  $c<-7$ .

Explanation of Solution

Given information: Given inequality is $2c-7>5c+14$ .

Calculation:

  $\begin{array}{c}2c-7>5c+14\end{array}$

  $2c-7-2c+7>5c-2c+14+7\text{(Additive}\text{property}\text{of}\text{inequality)}$

  $0>3c+21$

  $3c<-21$

  $\frac{3c}{3}<\frac{-21}{3}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}(\text{Division}\text{property}\text{of}\text{inequality})$

  $c<-7$