Question

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

Short answer

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

Step-by-step solution

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.