Q11 of 71 Page 14

Is Φ = {Φ}? Why?

No, because Φ contains no element but {Φ} contains one element, which is a null element. That’s the reason they are not equal.

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, ...}

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}

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

Φ, {0}, {Φ}

Fill in the blanks with to make each statement true.

i. {3} ---- {0, 2, 4, 6}

ii. {a} ---- {a, b, c}

iii. {8, 18} ---- {18, 8}

iv. {d} ---- {a, b, c}