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3 years ago

What is the solution to the inequality |X-4<37

Mathematics

1 answer:

katovenus [111]3 years ago

8 0

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

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