Question

solve the inequality and graph the solution on the line provided. 83 - 7x ≥ 111 answer attempt 1 out of 2 < > ≤ ≥ or inequality notation: number line:

Explanation:

Step1: Subtract 83 from both sides

$83 - 7x-83\geq111 - 83$
$-7x\geq28$

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

Since dividing by a negative number in an inequality flips the sign, $\frac{-7x}{-7}\leq\frac{28}{-7}$
$x\leq - 4$

Answer:

Inequality Notation: $x\leq - 4$
For the number - line: Draw a closed circle at - 4 (because the inequality includes equality, $\leq$) and shade the line to the left of - 4.