Question

solve the inequality and graph the solution on the line provided.
-3x - 62 ≥ -47
answer attempt 1 out of 3
< > ≤ ≥ or
inequality notation:
number line:
-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12

Explanation:

Step1: Add 62 to both sides

$-3x - 62+62\geq - 47+62$
$-3x\geq15$

Step2: Divide both sides by - 3 and reverse the inequality sign

Since dividing by a negative number reverses the inequality, $\frac{-3x}{-3}\leq\frac{15}{-3}$
$x\leq - 5$

Answer:

Inequality Notation: $x\leq - 5$
Number Line: Mark a closed - circle at - 5 (because of $\leq$) and shade the line to the left of - 5.