Chapter SH, Problem 5.5.14EP

To determine

The solution of the given inequality

Answer to Problem 5.5.14EP

  $y<-3$

Explanation of Solution

Given:

The given inequality is

  $3y+2<-7$

Calculation:

The given inequality can be solved as

  $\begin{array}{l}3y+2<-7\\ 3y<-7-2\\ 3y<-9\\ y<\frac{-9}{3}\\ y<-3\end{array}$

Check: Put y = -2, to check,

  $\begin{array}{l}3y+2<-7\\ 3\left(-2\right)+2<-7\\ -6+2<-7\\ -4<-7\\ \text{which is not possible}\text{.}\\ \text{Hence, }y<-3\end{array}$