Page 164 - Mathematics_Form_Two

Sets

(b) Some of the sets of the first four 10. List all the subsets of A {2, 4, 6}.
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letters of the English alphabet. 11. In the following pairs of sets, name

(c) The set of the first four letters of the set which is a subset of the other:
the English alphabet. (a) A {a, b, c} and
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(d) The set of the four consonants of (b) C {Tom, John, Idrisa} and
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B
{e, d, b, c, a}
D FOR ONLINE READING ONLY
the English alphabet.
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Mathematics for Secondary Schools 3. Describe the set A = {1, 4, 9, 16, 12. If A {a, b, c}, B {4, a, 1}, and
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D
{John, Tom}
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25} in statement form.
D={b, a}, which of the following
4. List the elements of the set given by
statements are true?
A = {x : x is a counting number
(a) A ⊂ B

less than 8}.
(c) A ⊂ D

(d) D ⊂ A
5. Which of the following sets is an 13. If A = a, b, c, d (b) B ⊂ D   find:
 and B =
empty set?
(a) A = {Ø} (b) B = {0} (a) A∪B
(c) R = Ø (d) S = { } (b) A∩B
14. Let A be the set of the first ten
6. Which of the following sets are counting numbers and B be the set
equal or equivalent? of the first four prime numbers.
A = {1, 2, 3, 4, 5} Find:
B = {1, 4, 7, 10, 15} (a) A∪B (b) A∩B

C = {cars, ships, aeroplanes} 15. If  = {1, 2, 3, 4,5} and
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D = {cars, ships, aeroplanes} A′ {2, 3, 5} list the elements of A.
7. Which of the following sets are 16. If  = {a, b, c, d, e}, B = {e, d},
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finite or infinite? and A {a, b, c}, find the following:
A xx=  : is a prime number  (a) A′∩B′

B = all letters of the English alphabet  (b) A∪(B∩A)
C = all students in your school  17. Draw a Venn diagram to show the
region representing each of the
= {1, 4, 9, 16, ...} following sets:

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E {1, 4, 9, 16, 25, ..., 81} (a) A′∪B (b) B′∩A′
(c) A∩B (d) ∪(A′∩B)
8. If A = {a, b}, use symbols to write
a and b as elements of A. 18 If A={All even numbers} space
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9. How many subsets are there in and B {All perfect squares}, draw
A = {a, b, c, d, e, f, g}. a Venn diagram to illustrate the
relationship between A and B.

158
Student's Book Form Two

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