Pertidaksamaan nilai mutlak1. |x+3|>2|x-3|

#F

|x + 3| > 2| x- 3|

|x + 3 | – 2 |x – 3| > 0

i) x< – 3

-(x + 3) – 2(-(x – 3)) > 0

– x – 3 + 2x – 6 > 0

x > 9 (tidak memenuhi)

ii) -3 ≤ x < 3

+(x+ 3) – 2 ( – (x – 3)) > 0

x + 3 + 2x -6 > 0

3x – 3 > 0

x > 1 (memenuhi)

iii) x ≥ 3

x+ 3 – 2(x – 3) > 0

x +3 – 2x + 6 > 0

-x + 9 > 0

– x > – 9

x < 9 (memenuhi

HP x > 1 atau x < 9