Question

question. solve the inequality and graph the solution on the line provided. -5 + 7x > -12. answer. attempt 1 out of 2. inequality notation: x <. number line: -12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12

Explanation:

Step1: Add 5 to both sides

$-5 + 7x+5>-12 + 5$
$7x>-7$

Step2: Divide both sides by 7

$\frac{7x}{7}>\frac{-7}{7}$
$x > - 1$

Answer:

Inequality Notation: $x > -1$
For the number - line: Draw an open circle at - 1 (since the inequality is strict, i.e., $x$ is greater than - 1 not greater than or equal to - 1) and shade the line to the right of - 1.