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0 votes
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in Sets, Relations and Functions by (48.7k points)
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State true or false for the following statement:

Let R and S be the sets defined as follows: 

R = {x ∈ Z | x is divisible by 2} 

S = {y ∈ Z | y is divisible by 3} 

then R ∩ S = φ

1 Answer

+1 vote
by (47.3k points)
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Best answer

False 

Since 6 is divisible by both 3 and 2. 

Thus R ∩ S ≠ φ

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