Say whether the following statements are true or false. a) 3E lodd numbers) b) 36 € (square numbers) ) 12, 3) C Iprime numbers) d) U= (letters of the alphabet), A = (vowels), A' = (consonants) e) (Vowels) = (Caribbean capital cities) f) IC lapples, oranges, melons)

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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The intersection n of two sets is the set of elements which belong to both sets. If you
look at the sets above, then A NB = {ring, earring and cross).
The union of two sets is the set of elements which contains all the elements of both sets.
If you look at the sets above, then AUB= {earring, ring, bangle, cross, chain}.
The complement of a set X, called X', refers to the elements that are part of the
universal set, but which do not fall into set X. So for example, if the universal set was
the set of gold and silver jewellery and set X = [silver jewellery} then set X' = [gold
jewellery}.
Disjoint sets have no common elements. Sets A and C are disjoint.
The universal set is the general set to which a set belongs. The universal set to which
A, B and C belong could be (jewellery).
The number of elements of a set is written as n(A) = 4.
Caribbean Maths Connect 3
Exercise
O Say whether the following statements are true or false.
a) 3 E lodd numbers)
b) 36 € (square numbers)
c) (2, 3) C (prime numbers)
d) U= {letters of the alphabet}, A = {vowels), A' = {consonants}
e) (Vowels) = {Caribbean capital cities}
f) C (apples, oranges, melons)
O Give an example of two equal sets.
O Without listing the subsets, say how many subsets each of the following sets will
have.
a) A = (a, b, c, d, e}
b) B= {one, two, seven, nine, eleven, twelve)
c) X= (Grenada, Dominica, St Lucia, St Kitts)
d) Y= {the fingers on both your hands}
e) M= (odd numbers smaller than 15)
O Give an example of two disjoint sets.
6 Give a universal set for each of the following.
a) (2, 3, 5, 7, 9}
b) (33, 44, 55)
c) (Castries, Bridgetown, Guadeloupe, St John's)
d) (Peso, Gourde, Franc, Guilder, Dollar}
e) (dodecahedron, icosahedron}
O If U = {whole numbers from 1 to 12), A = {5, 6, 7, 8) and B = {8, 9, 10, 11), write down
a) AUB
b) ANB
c) n(A U B)
d) n(A) + n(B)
e) A
f) B',
O If U = (the members of a Caribbean cricket team), state which of the following are
subsets of U.
a) wicket keepers
b) linesmen
c) referees
d) batsmen
e) fielders.
Transcribed Image Text:The intersection n of two sets is the set of elements which belong to both sets. If you look at the sets above, then A NB = {ring, earring and cross). The union of two sets is the set of elements which contains all the elements of both sets. If you look at the sets above, then AUB= {earring, ring, bangle, cross, chain}. The complement of a set X, called X', refers to the elements that are part of the universal set, but which do not fall into set X. So for example, if the universal set was the set of gold and silver jewellery and set X = [silver jewellery} then set X' = [gold jewellery}. Disjoint sets have no common elements. Sets A and C are disjoint. The universal set is the general set to which a set belongs. The universal set to which A, B and C belong could be (jewellery). The number of elements of a set is written as n(A) = 4. Caribbean Maths Connect 3 Exercise O Say whether the following statements are true or false. a) 3 E lodd numbers) b) 36 € (square numbers) c) (2, 3) C (prime numbers) d) U= {letters of the alphabet}, A = {vowels), A' = {consonants} e) (Vowels) = {Caribbean capital cities} f) C (apples, oranges, melons) O Give an example of two equal sets. O Without listing the subsets, say how many subsets each of the following sets will have. a) A = (a, b, c, d, e} b) B= {one, two, seven, nine, eleven, twelve) c) X= (Grenada, Dominica, St Lucia, St Kitts) d) Y= {the fingers on both your hands} e) M= (odd numbers smaller than 15) O Give an example of two disjoint sets. 6 Give a universal set for each of the following. a) (2, 3, 5, 7, 9} b) (33, 44, 55) c) (Castries, Bridgetown, Guadeloupe, St John's) d) (Peso, Gourde, Franc, Guilder, Dollar} e) (dodecahedron, icosahedron} O If U = {whole numbers from 1 to 12), A = {5, 6, 7, 8) and B = {8, 9, 10, 11), write down a) AUB b) ANB c) n(A U B) d) n(A) + n(B) e) A f) B', O If U = (the members of a Caribbean cricket team), state which of the following are subsets of U. a) wicket keepers b) linesmen c) referees d) batsmen e) fielders.
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