Question

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

Answer 1

Explanation:

in other words that means

-4 < (2x + 5) < 4

-9 < 2x < -1

-4.5 < x < -0.5

Answer 2

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 < -(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 < -(9)/(2)`

Hope the answer - and explanation - made sense,

happy studying.