Answer to Question #314710 in Discrete Mathematics for Pravin

Question

Let Q (x,) be the statement “the word x contains the letter a.” What are the truth values of the following?

a) P(orange)

b) P(lemon)

c) P(true)  

d) P(false) 

Answer 1

a) Since the word "orange" contains the letter "a", we conclude that the statement P(orange) is true.

b) Since the word "lemon" does not contain the letter "a", we conclude that the statement P(lemon) is false.

c) Since the word "true" does not contain the letter "a", we conclude that the statement P(true) is false.

d) Since the word "false" contains the letter "a", we conclude that the statement P( false) is true.