Let P = {x | x is a letter in the word 'CATARACT'} and Q = {y | y is a letter in the word 'TRAC'}
show that the P = Q.

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Solution

Equal sets: Two sets A and B are said to be equal if every element of A is a member of B and every element of B is a member of A.

P = {C,A,T,A,R,A,C,T} = {C,A,T, R}
Q = {T,R,A,C}

Here, every element of A is a member of B and every element of B is a member of A.
Hence, P = Q

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A = {x : x is a letter in the word reap}:
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Let P = {x | x is a letter in the word 'CATARACT'} and Q = {y | y is a letter in the word 'TRAC'} show that the P = Q.

Equal sets: Two sets A and B are said to be equal if every element of A is a member of B and every element of B is a member of A. P = {C,A,T,A,R,A,C,T} = {C,A,T, R} Q = {T,R,A,C} Here, every element of A is a member of B and every element of B is a member of A. Hence, P = Q

Let P = {x | x is a letter in the word 'CATARACT'} and Q = {y | y is a letter in the word 'TRAC'}
show that the P = Q.

Equal sets: Two sets A and B are said to be equal if every element of A is a member of B and every element of B is a member of A.

P = {C,A,T,A,R,A,C,T} = {C,A,T, R}
Q = {T,R,A,C}

Here, every element of A is a member of B and every element of B is a member of A.
Hence, P = Q