Answer to Question #186134 in Discrete Mathematics for Mahafahd Sudais Hamidy

Question

Let p and q be the propositions;

 

p: You drive over 110 kilometre per hour.

q: You get a speeding summons.

 

Write the following propositions using p and q and logical connectives.

 

a. You drive over 110 kilometre per hour, but you do not get a speeding summons.

(2 marks)

b. You get a speeding summon, but you do not drive over 110 kilometre per hour.

(2 marks)

c. If you do not drive over 110 kilometre per hour, then you will not get a speeding summon.

(2 marks)

d. Driving over 110 kilometre per hour is sufficient for getting a speeding summon.

(2 Marks)

Answer 1

Solution:

a. $p\rightarrow \sim q$

b. $q\rightarrow \sim p$

c. $\sim p\rightarrow \sim q$

d. $p\rightarrow q$