Question

Decide which of the following are equal sets and which are not ? Justify your answer.
A = { x|3x-1=2}
B = { x|x is a natural number but x is neither prime nor composite}
C = {x|x∈N,x<2}

Answer 1

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

A = { 1 }

[ 3x-1 = 2 => 3x = 3 => x = 3/3=1]

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

B = { 1 }

C = {x|x∈N,x<2}

C = { 1 }

Therefore,

A = B = C = { 1 }

A,B and C are equal sets .

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