Page 151 - Mathematics_Form_Two

Sets

6. What is the total number of subsets 10. What is n(A) if:
that can be formed from a set with (a) A { }
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seven elements? (b) A {2, 3, 4, 5, 6}
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7. For each of the following statements 11. Write in statement form the universal
write T if the statement is true and F set of the following sets:
FOR ONLINE READING ONLY
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if the statement is false: (a) A {a, b, c, d}
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(a) If G = {4, 5, 6} and (b) B {1, 2, 3, 4}
H = {5, 6, 7, 8}, then G ⊂ H. 12. How many subsets are there in each
(b) If K = { } and of the following sets? Mathematics for Secondary Schools
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L {tree, house, egg}, then (a) A {1, 2, 3, 4, 5}
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L ⊂ K (b) B {a, b, c}
(c) If A = {s, t, u, v} and (c) C {x : x ∈  , 9 ≤ x < 13}
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B {s, t, u, v}, then A  B and 13. Using set notation, show which set is
B  A. a subset of the other:
(d) If I = {1, 2, 3, 4, } and (a) A = {Countries in East Africa}

J = {4, 6, 8, }, then, J ⊂ I. and B = {Tanzania, Kenya,
8. If G = {cities, towns, and regions Uganda}
in Tanzania}, which of the following (b) C = {p, q, r, s, t, u, v} and
sets are subsets of G? D = {s, t, u, v}

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A {Nairobi, Dar es Salaam} 14. State whether or not the following
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B {Dodoma,Mombasa, Mwanza} sets are disjoint:
C = Ø (a) A {a, b, c, d, e}
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D = {Arusha, Iringa, Bagamoyo} B = {h, i, j, k}
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E = {Mbeya, Tunduru, Ruvuma} (b) A {x: x  3, x  N}
B = { 0 }
9. Which of the following sets are subsets (c) A {x: 0  x  4, x  N }
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of K, where, K {p, q, r, s, t, u, v, w} B = {x: -2  x  1, x  Z }
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(a) A {p, s, t, x}
15. Let A = {1, 2, 3, 6, 7, 9}. Determine
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(b) B {q, r, d, t} each of the following statement
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(c) C { } whether it is true or false:
(d) D = {p, q, r, s, t, u, v, w} (i) 2A
(ii) {1, 2, 3}⊂ A
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(e) E {a, b, c, d}
(iii) ∅ A

(f) F = {s, v, q} (iv) {6, 9}⊄A

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Student's Book Form Two

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11/10/2024 20:13:16
MATHEMATIC F2 v5.indd 145