Q. 1 - Precalculus Enhanced with Graphing Utilities

Question

Solve the inequality $-3x-2<7$.

Step-by-Step Solution

Answer

The solution set is $(-3,\infty )$.

Step 1. Given Information

The given inequality is $-3x-2<7$.

Step 2. Solve the inequality

• Add 2 to both sides of the inequality.

$\begin{array}{rcl}-3x-2+2& <& 7+2\\ -3x& <& 9\end{array}$

• Divide both sides by $-3$ and reverse the sign of the inequality.

$\begin{array}{rcl}\frac{-3x}{-3}& >& \frac{9}{-3}\\ x& >& -3\end{array}$

• In interval notation it can be denoted as $(-3,\infty )$.