Q. 3 - Precalculus Enhanced with Graphing Utilities

Question

Solve the inequality $5x+3\ge 0$and graph the solution set.

Step-by-Step Solution

Answer

The solution set is $\left\{\overline{)x}x\ge -\frac{3}{5}\right\}$and in interval notation $[-\frac{3}{5},\infty )$.

Step 1. Given information.

Solve the inequality $5x+3\ge 0$ and graph the solution set.

Step 2. Solve the inequality.

$$\begin{gathered} 5x+3\ge 0 \\ 5x\ge -3 \\ x\ge -\frac{3}{5} \end{gathered}$$

So, when x is greater or equal to $-\frac{3}{5}$, $5x+3\ge 0$ is true.

The solution set is $\left\{\overline{)x}x\ge -\frac{3}{5}\right\}$ and in interval notation $[-\frac{3}{5},\infty )$.

Step 4. Graph the solution set.