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Question

Let A,B and C be sets such that ϕABC. Then which of the following statements is not true ?

A
BCϕ
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B
(CA)(CB)=C
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C
If (AB)C, then AC
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D
If (AC)B, then AB
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Solution

The correct option is D If (AC)B, then AB
Let A={1,2,3} B={2,3,4} C={1,2,3,5,6}
Here, AB={2,3}C
we can clearly see that
AC=ϕB
But AB So, option (d) is false.
Similarly, rest of the options can be solved.

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