Question

solve each inequality and graph its solution. 5) -11 > m - 20

Explanation:

Step1: Add 20 to both sides

$-11 + 20>m-20 + 20$

Step2: Simplify the inequality

$9>m$ or $m < 9$

To graph the solution on the number - line:

1. Locate the number 9 on the number - line.
2. Since the inequality is $m < 9$, we use an open circle at 9 (because 9 is not included in the solution set) and draw an arrow to the left to represent all the numbers less than 9.

Answer:

$m < 9$; On the number - line, an open circle at 9 and an arrow pointing to the left.