Q10 of 71 Page 14

From the sets given below, select equal sets.

A = {12, 14, 18, 22}, B = {11, 12, 13, 14}, C = {14, 18, 22, 24}


D = {13, 11, 12, 14}, E = {−11, 11}, F = {10, 19}, G = {11, −11}, H = {10, 11}

B = {11, 12, 13, 14}


D = {13, 11, 12, 14}


∴ B and D have exactly same elements.


∴ B = D


E = {−11, 11}


G = {11, −11}


∴ E and G have exactly same elements.


∴ E = G


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8

Which of the following sets are equivalent?

i.


ii. Y = {x : x is a vowel in the English Alphabet}


iii. P = {x : x is a prime number and 5 < x < 23}


 9

Which of the following sets are equal?

i. A = {1, 2, 3, 4}, B = {4, 3, 2, 1}


ii. A = {4, 8, 12, 16}, B = {8, 4, 16, 18}


iii. X = {2, 4, 6, 8}


Y = {x : x is a positive even integer 0 < x < 10}


iv. P = {x : x is a multiple of 10, }


Q = {10, 15, 20, 25, 30, ...}

 11

Is Φ = {Φ}? Why?

 12

Which of the sets are equal sets? State the reason.

Φ, {0}, {Φ}