Solve the inequality and graph the solution on the line provided.
minus, 5, plus, 7, x, is greater than, minus, 12
−5+7x>−12
First, we want to isolate x on one side of the inequality:
−5 + 7x > −12
Add 5 to both sides:
7x > −7
Divide by 7 on both sides:
x > -1
Therefore, the solution to the inequality is x is greater than -1.
Graph:
On a number line, plot an open circle at -1 and shade to the right of -1 to show that x is greater than -1.