Question

solve the inequality and graph the solution.
-(h - 7) ≥ 1
plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.
← -10 -8 -6 -4 -2 0 2 4

Explanation:

Step1: Distribute the negative sign

$-h + 7\geq1$

Step2: Subtract 7 from both sides

$-h+7 - 7\geq1 - 7$
$-h\geq - 6$

Step3: Multiply both sides by -1 and reverse the inequality sign

$h\leq6$

Answer:

The solution of the inequality is $h\leq6$. On the number - line, you would plot a closed circle at 6 (since the inequality includes equality) and draw a ray to the left of 6.