Question

17 POINTS
Solve the following absolute value inequality

Answer 1

-11< (or equal to) x <( or equal to) -7

aka
x>-11
x<-7

Answer 2

x ⩽ -7

x ⩾ -11

Explanation:

5|x+9| ⩽ 10

• To find the absolute value, we need to consider the negative value.

-10 ⩽ 5(x+9) ⩽ 10

• Multiply inside the parenthesis with 5.

-10 ⩽ 5x + 45 ⩽ 10

• Subtract 45 from all expressions.

-55 ⩽ 5x ⩽ -35

• Divide the expressions with 5.

-11 ⩽ x ⩽ -7