Chapter 2.5, Problem 16E

To determine

To solve: the inequality and graph the solution.

Answer to Problem 16E

Therefore, the inequality solution is $w<-17$ or $w\ge -9$

  

Explanation of Solution

Given:

  $-14>w+3$ or $3w\ge -27$

Calculation:

Equation $1$ :

  $-14>w+3$

  $-14-3>w+3-3$ Subtract both sides by $3$

  $-17>w$ Simplify

  $w<-17$ Place variable on left side

Equation $2$ :

  $3w\ge -27$

  $\frac{3w}{3}\ge \frac{-27}{3}$ Divide both sides by $3$

  $w\ge -9$ Simplify

Its graph should have an open point at $-17$ and a shaded line going to the left of $-17$ and a closed point at $-9$ and a shaded line going to the right of $-9$ , as in:

  

Conclusion:

Therefore, the inequality solution is $w<-17$ or $w\ge -9$