Last updated at Jan. 27, 2020 by Teachoo
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Ex 1.2, 5 Are the following pair of sets equal? Give reasons. (i) A = {2, 3}; B = {x: x is solution of x2 + 5x+ 6 = 0} A = {2, 3} B = {x: x is a solution of x2 + 5x + 6 = 0} Solving x2 + 5x + 6 = 0, x2 + 2x + 3x + 6 = 0 x(x + 2) + 3(x + 2) = 0 (x + 2)(x + 3) = 0 x = –2 or x = –3 ∴ B = {–2, –3} −2 is in set B, but not in set A As every element of A is NOT same as every element of B ∴ A ≠ B Ex 1.2, 5 Are the following pair of sets equal? Give reasons (ii) A = {x: x is a letter in the word FOLLOW}; B = {y: y is a letter in the word WOLF} A = {x: x is a letter in the word FOLLOW} = {F, O, L, W} B = {y: y is a letter in the word WOLF} = {W, O, L, F} Elements of set A = F, O, L, W Elements of set B = F, O, L, W Every element of A is same as every element of B. ∴ A = B Ex 1.2, 5 Are the following pair of sets equal? Give reasons (ii) A = {x: x is a letter in the word FOLLOW}; B = {y: y is a letter in the word WOLF} A = {x: x is a letter in the word FOLLOW} = {F, O, L, W} B = {y: y is a letter in the word WOLF} = {W, O, L, F} Elements of set A = F, O, L, W Elements of set B = F, O, L, W Every element of A is same as every element of B. ∴ A = B ( As L and O are repeated )
Equal sets
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