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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