Question

state which paris of sets are disjoint or overlapping 2.c={x:x is a prime number, x>2}and d={x:x is an even prime number}3.E={x:x is a factor of 24 }and F={x:x is a multiple of 3.x<30​

Answer 1

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2.

$C = \{ x \: : \: x \: is \: a \: prime \: number \: , \: x>2 \: \}$

$= \{ 3, 5, 7,11, 13, 17,......... \}$

$D = \{ x \: : \: x \: is \: an \: even \: prime \: number \} = \{2 \}$

So

$C \cap \: D \: = \phi$

So C & D are DISJOINT

3.

$E= \{ x:x \: is \: a \: factor \: of \: 24 \}$

$= \{ 1, 2, 3,4,6, 8,12, 24 \}$

$F= \{x \: : \: x \: is \: a \: multiple \: of \: 3 \: and \:x < 30 \}$

$= \{ 3, 6, 9, 12, 15,18, 21,24, 27 \}$

So

$E \cap F = \{ 3,6,12, 24 \} \neq \: \phi$

So E & F are OVERLAPPING SETS

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