Question

solve each inequality and graph its solution.

1. $-12 > x - 7$

Explanation:

Step1: Isolate x by adding 7 to both sides

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

Step2: Simplify both sides

$-5 > x$ or $x < -5$

Step3: Graph the solution

On the number line, draw an open circle at $-5$ (since $x$ cannot equal $-5$) and shade all values to the left of $-5$.

Answer:

The solution to the inequality is $x < -5$.
For the graph: Open circle at $-5$, shade the number line to the left of $-5$.