Chapter 6.1, Problem 46SR

To determine

To solve the given inequality and to graph the solution of it.

Answer to Problem 46SR

Solution is $c>1$ and the graph is,

Explanation of Solution

Given:

  $16-2c<14$

Calculation:

  $16-2c<14$

Subtracting 16 on both sides, we get

  $\begin{array}{l}16-2c-16<14-16\\ \Rightarrow -2c<-2\end{array}$

Dividing by $-2$ on both sides, we get

  $\begin{array}{l}\frac{-2c}{-2}<\frac{-2}{-2}\\ \Rightarrow c>1\end{array}$

Now the graph is,