Answer:
x<7 or x>1
Step-by-step explanation:
The given inequality is
|x-4|<37
By the definition of the absolute value function, we get
x-4<3 or -(x-4)<3
We divide both sides of the inequality on the right by -1 and reverse the sign.
x-4<3 or x-4>-3
We add 4 to both sides of the equation to get:
x-4+4<3+4 or x-4+4>-3+4
x<7 or x>1
