Question

Answer this question please

Answer 1

`\sf \large \: x<19 \: or \: x>−5`

Explanation:

Let's solve your inequality step-by-step.

|x−7|<12

Solve Absolute Value.

|x−7|<12

We knowx−7<12andx−7>−12

x−7<12(Condition 1)

x−7+7<12+7(Add 7 to both sides)

x<19

x−7>−12(Condition 2)

x−7+7>−12+7(Add 7 to both sides)

x>−5

Answer:

x<19 and x>−5