In each of following, determine whether statement is true or false. If it is true, prove it. If it i

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1.Set Theory

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In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.

If $x \in A$ and $A \not\subset B$, then $x \in B$

Option A

Option B

Option C

Option D

Solution

False

Let $A=\{3,5,7\}$ and $B=\{3,4,6\}$

Now, $5 \in A$ and $A \not\subset B$

However, $5 \notin B$

Standard 11

Mathematics

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