Question

Please answer it i really need help on this topic.
4 | -9x | - 1 > 35

Answer 1

x>-1
:4 |-9x|-1>35
4|-9x|> 36
|-9x|>9
x>-1

Answer 2

(x < -1) ∪ (1 < x)

Explanation:

Add 1, divide by 4, then resolve to two inequalities:

4|-9x| -1 > 35

4|-9x| > 36

|-9x| > 9

For -9x > 0, this is ...

-9x > 9

x < -1 . . . . . divide by -9*

For -9x < 0, this is ...

-(-9x) > 9

x > 1 . . . . . divide by 9

The solution is ...

(x < -1) ∪ (1 < x)

_____

* For inequalities, multiplying or dividing by a negative number reverses the sense of the comparison symbol. You can see this if you consider ...

-2 < 1

2 > -1 . . . both sides multiplied by -1