Question

solve the inequality below. use the drop - down menus to describe the solution and its graph.
-7x + 13 ≥ 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

$-7x+13 - 13\geq41 - 13$
$-7x\geq28$

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

$\frac{-7x}{-7}\leq\frac{28}{-7}$ (When dividing by a negative number, the inequality sign flips)
$x\leq - 4$

Answer:

The solution to the inequality is $x\leq - 4$. A graph of the solution should have a closed - circle (because the inequality is $\leq$) and be shaded to the left.