Question

Selesaikanlah pertidaksamaan nilai mutlak berikut
*2<|2-x/2|<3
*|x+5| < |1-9x|
tolong guys!!!!!

Answer 1

2 < |2-x/2| < 3
2 < 2-x/2 < 3
_____________×2
4 < 2-x < 6
4 - 2 < -x < 6 - 2
2 < -x < 4
-2 < x < -4

|x+5| < |1-9x|
√(x+5)^2 < √(1-9x)^2
(x+5)^2 < (1-9x)^2
x^2 + 10x + 25 < 1 - 18x + 81x^2
x^2 - 81x^2 + 10x + 18x + 25 - 1 > 0
-80x^2 + 28x + 24 > 0
80x^2 - 28x - 24 = 0
__________________: 4
20x^2 - 7x - 6 = 0