August
1999 QUESTION 1 (Compulsory) Total Marks: 20 Marks |
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(a) | (i) Give an example of an element of Z+. (ii) Give an example of an element of Q. (iii) Give an example of an element of Q Ç Z -. (iv) Is the following relationship true or false?
You must justify your answer.
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[1] [1] [1] [1] |
(b) | Given matrics A = ![]() ![]() Calculate (i) AB (ii) ABT
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[3] [2] |
(c) | Write negations for each of the following
statements: (i) Lee is six feet tall and he weighs at least 90kg. (ii) The bus was late or Edwin's watch was slow.
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[2] [2] |
(d) | A student council consists of 15 students. In
how many ways can a committee of six be selected from the committee?
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[3] |
(e) | Let A = {2,3,4} and B= {6,8,10} and define a
binary relation R from A to B as follows:
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(i) Is 4 R 6? Justify your answer. (ii) Is (2,10)Î R? Justify your answer.
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[2] [2] |