Question

Solve the inequality. Write the solution in both interval notation and graphically -3x-1 ≥ 5

Answer 1

Given the inequality;

$-3x-1\ge5$

First, we add 1 to both sides of the inequality, we have;

$\begin{gathered} -3x-1+1\ge5+1 \\ -3x\ge6 \end{gathered}$

Thus, we divide both sides of the inequality by -3, then changes the inequality sign. We have;

$\begin{gathered} -\frac{3x}{3}\leq\frac{6}{-3} \\ x\leq-2 \end{gathered}$

Then, the interval notation of the inequality is;

$(-\infty,-2\rbrack$

The graphical representation is;