Answer to Question #308448 in Discrete Mathematics for shouty

Question

Which of these are propositions? What are the truth values of those that are propositions? Write P and its truth value either True or False if Proposition and NP if not a proposition and write what made it not a proposition.

a) Do not pass go.

b) What time is it?

c) 4 + x = 5.

d) The moon is made of green cheese.

e) 2n≥ 100.

f) 1+2=5

Answer 1

Solution (a) Do not pass go

This is not a proposition; it's a command

Solution (b) What time is it?

This is not a proposition; it's a question.

Solution (c) 4 + x = 5

This is not a proposition; its truth value depends on the value of x.

 

Solution (d) The moon is made of green cheese

This is a proposition that is false

Solution (e) 2n≥ 100

This is not a proposition; its truth value depends on the value of n

Solution (f) 1+2=5

Is a proposition, with the truth value False