Question

Which of the following pair of sets are equal ?

• A. P = {0, 1, 2, 3, 4}, and Q = {x : x <5, x ϵ N}
• B. P = {x : x is the letter of the word FOLLOW}, Q = {x:x is a letter of a the word WOLF}
• C. P = {x : x² + 16 = 0}, Q = {4, – 4}
• D. P = {3, 4}, Q = {x : x is a solution of x² + 7x + 12 = 0}

Answer 1

The correct option is A

P = {0, 1, 2, 3, 4}, and Q = {x : x <5, x ϵ N}

Two sets are said to be equal if they have exactly the same elements. Here P = {F,O,L,W}and Q = {W,O,L,F}. Clearly,P and Q have exactly same elements as a set does not change if one or more elements of the set are repeated.