Question

Scrisa ca interval multimea A={x€R/|x-1|□5} este egala cu...

Answer 1

|x-1| < 5 ⇒ -5 < x-1 < 5 |+1 ⇒ -4 < x < 6 ⇒  A = (-4,  6)

Answer 2

|x-1|<5

x-1<5

x<5+1

x<6

x-1≥0

x-1+1≥0+1

x≥0+1

x≥1

-(x-1)<5

x-1>-5

x>-5+1

x>-4

x-1<0

x-1+1<0+1

x<0+1

x<1

x<6,x≥1

x € [1,6)

x>-4,x<1

x € (-4,1)

=>x € (4,6)