SOLUTION: If A is a subset of B and A is a subset of C, is B intersection C not equal to A?

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Question 756456: If A is a subset of B and A is a subset of C, is B intersection C not equal to A?
Answer by MathLover1(20850) About Me  (Show Source):
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A is a subset of B and A is a subset of C, is B intersection C not equal to A
by definition:
If A and B are sets and every element of A is also an element of B, then:
A is a subset of (or is included in) B,(means B can have more elements then A)
If A and C are sets and every element of A is also an element of C,(means C can have more elements then A) then:
A is a subset of (or is included in) C,
intersection C is could be equal to A if B intersection C has no more elements except elements of set A
so, if there are any elements in B intersection C that are not elements of set A, then B intersection C not equal to A