Question

URGENTT!!!!HELP ME!!!!DAU COROANA DAR CAT MAI REPEDE REZOLVaT SI EXPLICAT!!!!!!!!!!!!!!!!!!!!!!!Se considera multimea A={x∈R||x-1|<5}
c)Calculati A∪ {-4,-2,-1,2,4,6,8}

Answer 1

|x-1| <5.
-5<x-1<5. |-1
-5<x<5
x∈{-4 -3 -2 -1 0 1 2 3 4} 

A U { -4 -2 -1 2 4 6 8} = {-4 -3 -2 -1 0 1 2 3 4 5 8}

Answer 2

   
x∈R si |x-1| <5  ⇔   -5 < x-1 < 5

⇒  A = (-5; 5)  = \text(Interval deschis la stanga si la dreapta, de la -5 la 5)

A  U {-4; -2; -1; 2; 4; 6; 8} = (-5; 5) U {6; 8}

A ∩ {-4; -2; -1; 2; 4; 6; 8} = {-4; -2; -1; 2; 4}  

Intersectia nu s-a cerut in problema dar ca poate ai nevoie.