Mathematics (BS)
ALLAMA IQBAL OPEN UNIVERSITY, ISLAMABAD
Department of Mathematics
Course: Pre-Calculus (4431) Semester: Autumn, 2020
Level: BS Total Marks: 100
Pass Marks: 50
Assignment No. 1
(Unit 1-4)
Note: Attempt all questions and each question carries equal marks.
Q.1 (a) Which of the following sets have closure property with respect to addition and multiplication. (10)
i) [pic] ii) [pic] iii) [pic]
b) Prove [pic] is an irrational number (10)
Q.2 (a) Use the Venn diagram to verify the following: - (10)
(i) [pic] (ii) [pic] if f [pic]
(b) For A={1,2,3,4}, find the following relation in A. State the domain range of each relation. Also draw the graph of each. (10)
(i) {(x, y) ǀ y + x =5} (ii) {(x, y) ǀ x + y ................
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