ICA1
1) Which of the following sentences are propositions? What are the truth values of those
that are propositions? (1 mark)
(a) 2 + 4 = 6
(b) X + 3 = 12
2) Let p and q be the following propositions respectively:
p: Swimming at the shore is allowed
q: Sharks have been spotted near the shore Express
each of the following compound propositions as an English sentence. (1 marks)
3) Determine whether each of these conditional statements is true or false: (3 marks)
(a) If 1+1=2, then 2+2=5
(b) If 1+1=3, then 2+2=4
(c) If 1+1=3, then 2+2=5
4) State the converse, contrapositive and inverse of each of these conditional statements.
(a) I come to class whenever there is going to be a test. (3 marks)
5) Construct a truth table for each of these compound propositions: (2 marks)
