CBSE (Science) Class 11CBSE
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Solution - Determine Whether the Statement is True Or False. If It is True, Prove It. If It is False, Give an Example. If a Subset B And X Not Element B, Then X Not Element a - CBSE (Science) Class 11 - Mathematics

Question

Determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.

If A ⊂ B and x ∉ B, then x ∉ A

Solution

True

Let A ⊂ B and ∉ B.

To show: x ∉ A

If possible, suppose x ∈ A.

Then, x ∈ B, which is a contradiction as ∉ B

x ∉ A

Is there an error in this question or solution?

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Reference Material

Solution for question: Determine Whether the Statement is True Or False. If It is True, Prove It. If It is False, Give an Example. If a Subset B And X Not Element B, Then X Not Element a concept: Subsets. For the courses CBSE (Science), CBSE (Arts), CBSE (Commerce)
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