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WORKBOOK

Properties of subsets:

1) Empty set is a subset of any set. (i.e. ∅ ⊂ A)

2) Every set is a subset of itself. (i.e. A ⊂ A)

3) Every set is a subset of universal set ( i.e A ⊂ U)

4) If A ⊂ B and B ⊂ C then A ⊂ C.

Example 3: Which of the following notations are true for the sets A = {1, 2, 3, 4, 5},
B = {4, 5, 6}, C = {2, 3, 4}

I. C A ( )
II. C  B ( )

III. B  A ( )
IV. A  A ( )

V.   A ( )

Example 4: Determine whether the following statements are true or false for the set
A= {a, b, {c}, d, {1, 2, {a}}, e}

a) s(A) = 8 ( ) g) {a, b} A ( )
d) {1, 2}A ( )

b) a A ( ) e) {a} A ( ) h) {d}A ( )

c) {c} A ( ) f) {1,2, {a}} A ( ) ı) {c} A ( )

h) {e} A (…..)

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