Question

|x| + 4 > 7 plz help and hurry

Answer 1

The solution is
`(-\infty,-3)\cup(3,\infty)`.

Explanation:

Given:

The inequality given is:

`|x|+4>7`

In order to simplify for 'x', we first isolate 'x' on one side.

Adding -4 on both sides, we get:

`|x|+4-4>7-4\\\\|x|>3`

Now,
`|x|` is an absolute value function which is defined as:

`|x|=\left \{ {{-x}\ \ x<0 \atop {x\ \ x\geq0}} \right.`

Therefore, the given inequality can be rewritten as:

`-x > 3\\x<-3` and
`x > 3`

Therefore, the solution is
`(-\infty,-3)\cup(3,\infty)`.