Question

solve and graph the following inequality: -6 - 8x ≥ 7

Explanation:

Step1: Add 6 to both sides

$-6 - 8x+6\geq7 + 6$
$-8x\geq13$

Step2: Divide both sides by - 8 and reverse the inequality sign

$x\leq-\frac{13}{8}$

Answer:

$x\leq-\frac{13}{8}$
To graph: On a number - line, draw a closed circle at $x =-\frac{13}{8}=-1.625$ (since the inequality is $\leq$) and shade the line to the left of $x =-\frac{13}{8}$.