Chapter 8.8, Problem 50STP

To determine

To find:The solution of the inequality $7<-2x+5$

Answer to Problem 50STP

G. $x<-1$

Explanation of Solution

Given information:The inequality $7<-2x+5$

Calculation:

  $\begin{array}{l}7<-2x+5\\ \Rightarrow 7-5<-2x+5-5[\text{subtracting both sides by 5]}\\ \Rightarrow 2<-2x\\ \Rightarrow \frac{2}{-2}>\frac{-2x}{-2}[\text{dividing both sides by }-2\text{ and reversing sign]}\\ \Rightarrow -1>x\\ \Rightarrow x<-1\end{array}$

Thus, the solution is G. $x<-1$