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”}

Asked by Aaryan | 1 year ago |  43

##### Solution :-

(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}

Since, A and B do not have exactly same elements hence they are not equal.

(ii) Every letter in WOLF

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

Every letter in FOLLOW

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

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

Answered by Sakshi | 1 year ago

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