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In-s [12.5K]
2 years ago
5

Solve |2x + 5|<4 -thank you in advance

Mathematics
2 answers:
dmitriy555 [2]2 years ago
8 0

Hi, there.

  ______

Start off by noting that 2x+5 can be either positive or negative.

First off let's solve for x, where 2x+5 is a positive.

Thus,

2x+5 < 4\\2x < -1\\x < -\dfrac{1}{2}

Now let's solve for x, where 2x+5 is a negative. But first we need to distribute -1. -2x-5.

Now solve.

-2x-5 < 4\\-2x < 9\\x < -\dfrac{9}{2}

Hope the answer - and explanation - made sense,

happy studying.

elixir [45]2 years ago
8 0

Step-by-step explanation:

in other words that means

-4 < (2x + 5) < 4

-9 < 2x < -1

-4.5 < x < -0.5

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