Question

solve the inequality and graph the solution on the line provided. -2x - 5 ≥ -21 answer attempt 1 out of 2 < > ≤ ≥ or inequality notation: number line:

Explanation:

Step1: Add 5 to both sides

$-2x-5 + 5\geq - 21+5$
$-2x\geq - 16$

Step2: Divide both sides by -2 and reverse the inequality sign

Since dividing by a negative number in an inequality flips the sign, $\frac{-2x}{-2}\leq\frac{-16}{-2}$
$x\leq8$

Answer:

Inequality Notation: $x\leq8$
Number Line: Mark a closed - circle at 8 (because the inequality includes equality, $\leq$) and shade the line to the left of 8.