Answer:
(x < -1) ∪ (1 < x)
Step-by-step 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)
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* 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
