Q12 of 71 Page 14

Which of the sets are equal sets? State the reason.
Φ, {0}, {Φ}

Each one is different from each other as we can see below:

Φ - contains no element

{0} - contains one element which is 0.

{Φ} - contains one element, which is a null element.

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}

Is Φ = {Φ}? Why?

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}

Let X = {−3, −2, −1, 0, 1, 2} and Y = {x : x is an integer and −3 ≤ x < 2}

i. Is X a subset of Y?

ii. Is Y a subset of X?

Which of the sets are equal sets? State the reason.Φ, {0}, {Φ}