Question

Help with this math question please

Answer 1

first you need to calculate the value of x when

`{x}^(2) + 4x = 45`
the value of x for that is x=-9 or x=5. then on the number line, you will have three different intervals which are:

`x < - 9`

`- 9 < x < 5`

`x > 5`

then you need to choose one number from each of the three intervals to test if you can get

`{x}^(2) + 4 < 45`
if you can, then that interval is one of the answer.
so the final answer for this question is

`- 9 < x < 5`