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What is the solution of |2x+5| <19?
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What is the solution of |2x+5| <19?

User Jmsu
by
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1 Answer

11 votes

Answer:

-12 < x < 7

Explanation:

Hello!

There are two equations given for this absolute value inequality:

  • 2x + 5 < 19
  • -(2x + 5) < 19

We have to solve for x in both of the inequalities.

2x + 5 < 19

  • 2x < 14
  • x < 7

-(2x + 5) < 19

  • -2x - 5 < 19
  • -2x < 24
  • x > 24/-2
  • x > -12

The solution is -12 < x < 7.

User Chenka
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