Question

|x-1| < 2(x-2) carilah himpunan penyelesainnya

Answer 1

= |x-1|² < 2²(x-2)
= x²-2x+1 < 4(x-2)
= x²-2x-4x+1-8 < 0
= x²-6x-7 < 0
= (x+1) (x-7)
{x<-1 atau x>7}