Answer to Question #309612 in Discrete Mathematics for jepay

Question

1. Determine whether each of the following statements is a proposition or not. If it is, give its truth value.p: Mindanao is an island in the Philippines. 

• q: Find a number which divides your age. 
• r: My seatmate will get a perfect score in the Logic exam.
• s: Welcome to the Philippines!

Answer 1

Solution (a)

Since we know that Mindanao is the second-largest island in the Philippines.

Therefore, “Mindanao is an island in the Philippines” is a proposition (a true statement)

 

Solution (b)

My age is 20 years. I can find a number which can divide 20.

Therefore, “Find a number which divides your age” is a proposition (a true statement)

 

Solution (c)

This is a probability case because it is equally likely that my seatmate will or will not get a perfect score in the logic exam.

Therefore, “My seatmate will get a perfect score in the Logic exam” is not a proposition (a False statement)

 

Solution (d)

There may be someone banned to enter the Philippines,

Therefore, “Welcome to the Philippines” is not a proposition (a False statement)