solve and graph the following inequality: -6 - 8x ≥ 7
solve and graph the following inequality: -6 - 8x ≥ 7
Answer
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 $x =-\frac{13}{8}$.