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Are the Following Sets Equal? a = {X : X is a Letter in the Word Reap}: B = {X : X is a Letter in the Word Paper};

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प्रश्न

Are the following sets equal?
A = {x : x is a letter in the word reap}:
B = {x : x is a letter in the word paper};
C = {x : x is a letter in the word rope}.

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उत्तर

A = {r, e, a, p}
B = {p, a, e, r}
C = {r, o, p, e}
Here, A = B because every element of A is a member of B & every element of B is a member of A.
But every element of C is not a member of A & B.
Also, every element of A and B is not a member of C.
Therefore, we can say that these sets are not equal.

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अध्याय 1: Sets - Exercise 1.03 [पृष्ठ १०]

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आर.डी. शर्मा Mathematics [English] Class 11
अध्याय 1 Sets
Exercise 1.03 | Q 4 | पृष्ठ १०

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