Q13 of 162 Page 1

Prove that: A B, B C and C A A = C.

We have A B, B C and C A


∴ A B C A.


Now, A is a subset of B and B is a subset of C, so


A is a subset of C, i.e., A C


Also, C A


Hence C= A.


More from this chapter

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What is the total number of proper subsets of a set consisting of n elements?

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If A is any set, prove that: A ϕ A=ϕ.

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How many elements have P (A), if A= ϕ?

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What universal set (s) would you propose for each of the following:

(i) The set of right triangles.


(ii) The set of isosceles triangles