let P=(x|x is a letter in the word cataract ) and Q,=(y|y is a letter in the word trac) are the setA and B equal? justify please some body give me anwser
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Question:-
- Let P = { x | x is a letter in the word CATARACT } and Q = { y | y is a letter in the word TRAC }. Are the set P and set Q equal? Justify.
Answer:-
- Set P and set Q are equal.
Step- by-step explanation:-
- A/Q
P = { C, A, T, R }
Q = { T, R, A, C }
- We know that two sets A and B are equal if every element of A is also an element of B and if element of B is also an element of A.
Now, since every element of P is also an element of Q and every element of Q is also an element of P.
- Hence, set P and set Q are equal.
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