Are the following pair of sets equal ? Give ...

NCERT Class XI Mathematics - Sets - Solutions

Question : 11 of 73

Marks: +1, -0

Are the following pair of sets equal ? Give reasons.

(i) A = {2, 3}, B = {x : x is solution of

x^2

+ 5x + 6 = 0}

(ii) A = {x : x is a letter in the word FOLLOW}

B = {y : y is a letter in the word WOLF}

Solution:

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

Now,

x^2

+ 5x + 6 = 0 ⇒

x^2

+ 3x + 2x + 6 = 0

⇒ (x + 3)(x + 2) = 0 ⇒ x = –3, –2 ∴ B = {–2, –3}

Hence, A and B are not equal sets.

(ii) 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}

Hence, A = B = {F, O, L, W}.

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