Question

Are the following sets disjoint? A={x:x<10,x is an even number}, B={x:x²-6x=0}​

Answer 1

Step-by-step explanation:

Question :

Are the following sets disjoint? A={x:x<10,x is an even number}, B={x:x²-6x=0}

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Answer :

Def of disjoint sets -: Two sets are said to be disjoint sets if they have no element in common.

A = {x:x<10,x is an even number}

A = {0,2,4,6,8}

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B = {x:x²-6x=0}

B = {6}

As number 6 is contained in Both set A and set B.

$\bf\boxed{∴ They \: are \: not \: disjoint \: sets.}$

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