Question

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

Answer 1

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.

Answer 2

Step-by-step explanation:

in other words that means

-4 < (2x + 5) < 4

-9 < 2x < -1

-4.5 < x < -0.5