Short Tutor-Marked Assignment (Spring 2019/2020)

Cut-Off Date: —

Total Marks: 100

Contents

Warnings and Declaration………………………………………………………………   1

Question 1………………………….……………………………………………………………  2

Question 2…..…………………………………………………………………………………..  3

Question 3 ………….………..…………………………………………………………………  4

Question 4 ………….………..…………………………………………………………………. 5

Question 5 ………….………..…………………………………………………………………. 6

Plagiarism Warning:

As per AOU rules and regulations, all students are required to submit their own STMA work and avoid plagiarism. The AOU has implemented sophisticated techniques for plagiarism detection. You must provide all references in case you use and quote another person’s work in your STMA. You will be penalized for any act of plagiarism as per the AOU’s rules and regulations.

Declaration of No Plagiarism by Student (to be signed and submitted by student with STMA work):

I hereby declare that this submitted STMA work is a result of my own efforts and I have not plagiarized any other person’s work. I have provided all references of information that I have used and quoted in my STMA work.

Name of Student: ………………………………..

Signature: ……………………………………………

Date: ……………………………………………………

Answer the following questions:

Q‒1. [6+6+8 marks] In the questions below write the statement in the form “If …, then ….”:

1.  To get a good grade it is necessary that you study.
2.  Studying is sufficient for passing.
3. You need to be registered in order to check out library books.

Q‒2. [10+10 marks] Consider the following statements where the domain of discourse is the set of real numbers:

1. Determine the truth value of each statement, justifying your answer.
2. Write down the negation of the statements.

Q‒3. [10+10 marks] For the sets  and  show that:

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