Question

Dane są zbiory A={x: xэR i x<6} i B={x: xэR i x>3 i x≤10}. Zaznacz osi liczbowej AnB,A AuB, A\B, A*

Answer 1

A={x: x∈R i x<6}
x<6
B={x: x∈R i x>3 i x≤10}
3<x≤10

B=(3;10]
A =(-∞;6)
A U B=(-∞;10]
A n B =(3;6)
A\B=(-∞;3]
A'=[6;+∞)

Answer 2

AnB: x∈(-∞,10]
AuB: x∈(3,6)
A\B: x∈(-∞,3]
B\A: x∈[6,10]
A*: [6,∞]