Are the following pair of sets equal? Give reasons.
Question:

Are the following pair of sets equal? Give reasons.

(i) A = {2, 3}; B = {xis solution of x2 + 5+ 6 = 0}

(ii) A = {xis a letter in the word FOLLOW}; B = {yis a letter in the word WOLF}

Solution:

(i) A = {2, 3}; B = {xx is a solution of x2 + 5x + 6 = 0}

The equation x2 + 5x + 6 = 0 can be solved as:
x(x + 3) + 2(x + 3) = 0
(x + 2)(x + 3) = 0
x = –2 or x = –3

∴A = {2, 3}; B = {–2, –3}
∴A ≠ B

(ii) A = {xx is a letter in the word FOLLOW} = {F, O, L, W}

B = {yy is a letter in the word WOLF} = {W, O, L, F}

The order in which the elements of a set are listed is not significant.

∴A = B

Administrator

Leave a comment

Please enter comment.
Please enter your name.