Question

solve the inequality below. use the drop-down menus to describe the solution and its graph.

$-7x + 13 \geq 41$

click the arrows to choose an answer from each menu.

the solution to the inequality is choose... . a graph of the solution should have choose... and be shaded to the choose... .

Explanation:

Step1: Subtract 13 from both sides

$$\begin{align*} -7x+13 - 13&\geq41 - 13\\ -7x&\geq28 \end{align*}$$

Step2: Divide both sides by -7 and reverse the inequality sign

$$\begin{align*} \frac{-7x}{-7}&\leq\frac{28}{-7}\\ x&\leq - 4 \end{align*}$$

Answer:

The solution to the inequality is \(x\leq - 4\). A graph of the solution should have a closed circle (because the inequality includes equality, \(\leq\)) at \(-4\) and be shaded to the left (since \(x\) is less than or equal to \(-4\)).