Given that $\xi = \{x : x \text{ is an integer and}\hspace{0.5em} 0

Question

Given that $\xi = \{x : x \text{ is an integer and}\hspace{0.5em} 0<x\le 10 \}$ $A = \{x : x \text{ is an even number}\hspace{0.15em}\}$ $B = \{x : x \text{ is a prime number}\hspace{0.15em}\}$ List the elements in $A'$, $A \cap B$. All sets in this question are subsets of the stated universal set $\xi$; every set-builder variable is restricted to that universe.

Accepted Answer

(a) $A'=\{1,3,5,7,9\}$ (b) $A\cap B=\{2\}$

Foundations of Set Theory: Intersection and Complementary Operations

Foundations of Set Theory: Intersection and Complementary Operations

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