Answer :
We know that two sets A and B are said to be equal, if every element of set A is in set B and every element of set B is in set A. It is symbolically written as A = B.
A = {x|3x – 1 = 2}
⇒ 3x – 1 = 2
⇒ 3x = 2 + 1 = 3
⇒ x = 3/3 = 1
∴ A = {1}
B = {x |x is a natural number but x is neither prime nor composite}
We know that 1 is neither prime nor composite and is a natural number.
∴ B = {1}
C = {x |x ∈ N, x < 2}
We know that natural number, N = {0, 1, 2, 3, …}
∴ C = {0, 1}
A = B, B ≠ C, A ≠ C
Ans. A and B are equal sets but B and C (and) A and C are not equal sets.
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