Question

Decide which of the following are equal sets and which are not ? Justify your answer.

A = { x | 3 x -1 = 2}

B = { x | x is a natural number but x is neither prime nor composite}

C = { x | x $\in$ N, x < 2}

Answer 1

Since, A = {x | 3x $-$ 1 = 2} = {1};

B = {x | x is a natural number but x is neither prime nor composite} = {1}; and

C = {x | x $\in$ N, x < 2} = {1}

So, A = B = C