Blog: MTH202 Assignment No. 1 Question No. 1

Q1: Which of the following are the propositions? Write Truth value of each proposition.
1. Ali is an intelligent boy.                           proposition. T
2. She cooks well                                          Not a proposition.
3. 5 + 6 = 12                                                                      proposition F
4. x + 5 > 20                                           not a proposition   
5. The sun sets in the west.                               Proposition T
6. Complete your homework.                         Not a proposition
7. Respect your elders                                    Not a proposition
8. The set of natural numbers begins with 1. Proposition T
9. The square root of 2 is irrational.               Proposition T
10. The sky is blue at night.                            Proposition F
11. Honesty is the best policy.                        Proposition T
Q2: Let p = I am a student of Computer Science.
q = I work hard.                     
Then translate the following logical expressions into English sentences
Q2:
p→q= I am a student of computer science then I must work hard.
q → p= if I work hard then I must be  a student of computer science
p↔q= I am a  computer science student if and only if  I work hard.
~p→~q= if I am not a student of computer science then I must not work hard
~q→~p= if I am not working hard then I must not be a student of  computer science.
~(p→q)= I am a computer science student and I do not work hard.