Page 163 - Mathematics_Form_Two
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Sets
21. A survey among 90 men who had 6. Equal sets have the same elements
spent a day in volleyball or football and an equal number of elements.
showed that 60 played volleyball 7. A subset of a set contains some or
and 22 played both volleyball and all elements of another set.
football. How many men played 8. A universal set is the set which
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football? contains all elements of all sets
22. In a village, all the people speak under consideration.
Kiswahili or English or both. 9. A complement set consists of all
Among them, 97% speak Kiswahili members which are not in the given
and 64% speak English. set, but are elements in a universal Mathematics for Secondary Schools
(a) What percentage of people set.
speak both Kiswahili and 10. A Venn diagram is a pictorial
English? representation of sets or
(b) What percentage of people relationships between sets.
speak English only?
11. A union of two sets is a set which
23. In a class of 36 students, everyone is formed when the members of
studies Biology or Physics or both. the two sets are collected together
If 9 students study both subjects and without repetition.
12 study Physics but not Biology, 12. The intersection of two sets is a set
how many students study Biology formed by taking all elements that
but not Physics? are common in both sets.
13. A singleton is a set that contains
only one element.
Chapter summary
1. A set is a group or collection Revision exercise 7
of objects that have common
characteristics. 1. If A = {a, b, c}, which of the
following statements are true?
2. A set is finite if it has a countable
number of elements. (a) A∈A (b) d∈A
(c) c∈A (d) b∈A
3. A set is infinite if it has uncountable
number of elements. 2. If A = {a, b, c, d}, which of the
4. An empty set is a set with no following statements represents the
elements. set A?
5. Equivalent sets have equal number (a) A set of four letters of the
of elements. English alphabet.
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