Question

solve the inequality and graph the solution on the line provided. -5x + 3 ≥ -22 answer attempt 1 out of 2 < > ≤ ≥ or inequality notation: number line: -12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12

Explanation:

Step1: Subtract 3 from both sides

$-5x+3 - 3\geq - 22-3$
$-5x\geq - 25$

Step2: Divide both sides by - 5 and reverse the inequality sign

Since dividing by a negative number in an inequality flips the sign, $\frac{-5x}{-5}\leq\frac{-25}{-5}$
$x\leq5$

Answer:

Inequality Notation: $x\leq5$
Number Line: Mark a closed - circle at 5 (because the inequality includes equality, i.e., $\leq$) and shade the line to the left of 5.