Question

solve the inequality and graph the solution on the line provided.
-5 - 7x ≤ -33
answer attempt 1 out of 2

inequality notation:

number line:

Explanation:

Step1: Add 5 to both sides

$-5 - 7x+5\leq - 33 + 5$
$-7x\leq - 28$

Step2: Divide both sides by -7 and reverse the inequality sign

Since dividing by a negative number, the inequality sign flips. $\frac{-7x}{-7}\geq\frac{-28}{-7}$
$x\geq4$

Answer:

Inequality Notation: $x\geq4$
Number Line: Draw a number line, put a closed - circle at 4 (because the inequality is $\geq$) and shade to the right of 4.