isackmartinez isackmartinez

15-11-2020
Mathematics

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Which value of x is in the solution 2|x-3|<4

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jimrgrant1 jimrgrant1

15-11-2020

Answer:

1 < x < 5

Step-by-step explanation:

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

- a < x < a

Given

2 | x - 3 | < 4 ( divide both sides by 2 )

| x - 3 | < 2 , then

- 2 < x - 3 < 2 ( add 3 to each interval )

1 < x < 5

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