Are the following pairs of sets equal? Give reasons.(i) A = {2, 3}, B

1.	Are the following pairs of sets equal? Give reasons.(i) A = {2, 3}, B = {x: x is a solution of x2 + 5x + 6= 0}(ii) A={x: x is a letter of the word “WOLF”}B={x: x is letter of word “FOLLOW”}
Answer» (i) A = {2, 3} B = x² + 5x + 6 = 0 x² + 3x + 2x + 6 = 0 x(x+3) + 2(x+3) = 0 (x+3) (x+2) = 0 x = -2 and -3 = {–2, –3} Here, A and B do not have exactly same elements thus they are not equal. (ii) The every letter in WOLF A = {W, O, L, F} = {F, L, O, W} The every letter in FOLLOW B = {F, O, L, W} = {F, L, O, W} Here, A and B have same number of elements which are exactly same, thus they are equal sets.

Are the following pairs of sets equal? Give reasons.(i) A = {2, 3}, B = {x: x is a solution of x2 + 5x + 6= 0}(ii) A={x: x is a letter of the word “WOLF”}B={x: x is letter of word “FOLLOW”}

Answer»

(i) A = {2, 3}

B = x² + 5x + 6 = 0

x² + 3x + 2x + 6 = 0

x(x+3) + 2(x+3) = 0

(x+3) (x+2) = 0

x = -2 and -3

= {–2, –3}

Here, A and B do not have exactly same elements thus they are not equal.

(ii) The every letter in WOLF

A = {W, O, L, F} = {F, L, O, W}

The every letter in FOLLOW

B = {F, O, L, W} = {F, L, O, W}

Here, A and B have same number of elements which are exactly same, thus they are equal sets.