Answer:
[tex] \sf \large \: x<19 \: or \: x>−5[/tex]
Step-by-step 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
