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ladessa [460]
3 years ago
12

If A ⊂ B, then A ∩ B = A ∪ B.

Mathematics
2 answers:
tensa zangetsu [6.8K]3 years ago
6 0
You can illustrate this with a Venn diagram
dlinn [17]3 years ago
3 0

Answer with Step-by-step explanation:

We are given that two sets  A and B

A\subset B

We have to prove show that A\cap B=A\cup B

Suppose , x belongs to [tex}A\cap B[/tex]

Then , x\in A,x\in B

Then, x\in (A\cup B)

If, x\in (A\cup B)

Then, x\in A or x\in B

If x\in B Then, it is not necessary that x belongs to  A .

If x belongs to A then

A\cap B=(A\cup B)

If x does not belongs to A then

A\cap B \neq(A\cup B)

But, if x belongs to A then x is also belongs to B because  A is a subset  of B.

Then, A\cap B=(A\cup B)

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vladimir1956 [14]
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