Q57. - Algebra 2

Question

Use a graphing calculator to solve each inequality.

$\mathbf{-}\mathbf{4}\left(\mathbf{6}\mathbf{x}\mathbf{-}\mathbf{3}\right)\le \mathbf{60}$

Step-by-Step Solution

Answer

The solution of the given inequality is: $\mathbf{x}\ge \mathbf{-}\mathbf{2}$

Step 1 ­- Description of step.

It is given that the inequality is $-4\left(6x-3\right)\le 60$.

$$\begin{gathered} -4\left(6x-3\right)\le 60 \\ -24x+12\le 60 \\ -24x\le 60-12 \\ -24x\le 48 \\ x⩾-2 \end{gathered}$$

Step 2 ­- Description of step.

The solution of the given inequality by graphing calculator is:

Step 3 ­- Write the conclusion.

The solution of the given inequality is $x\ge -2$.