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svp [43]
3 years ago
11

Which of the following is the solution to |x-13|<18

Mathematics
2 answers:
bonufazy [111]3 years ago
8 0

Answer:

- 5 < x < 31

Step-by-step explanation:

Inequalities of the type | x | < a, always have a solution of the form

- a < x < a

given | x - 13 | < 18, then

- 18 < x - 13 < 18 ( add 13 to all 3 intervals )

-5 < x < 31


serious [3.7K]3 years ago
3 0

Rewrite the inequality without the absolute value

-18 < x - 13 < 18

Add 13 to the whole equation

-18 + 13 < x < 18 + 13

Simplify

<u>-5 < x < 31</u>

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