Therefore, the truth value is true.ī) P(lemon) = “the word lemon contains the letter a.”. 2- Let P(x) be the statement “the word x contains the letter a.” What are these truth values?Īnswer: a) P(orange) = “the word orange contains the letter a.”. Therefore, the truth value is true.Ĭ) P(6) = “6≤4”. Therefore, the truth value is true.ī) P(4) = “4≤4”. 1- Let P(x) denote the statement “x ≤ 4.” What are these truth values?Īnswer: a) P(0) = “0≤ 4”. Express each of these quantifications in English. 5- Let P (x) be the statement “x spends more than five hours every weekday in class,” where the domain for x consists of all students. 4- State the value of x after the statement if P (x) then x := 1 is executed, where P(x) is the statement “x > 1,”.3- Let Q(x, y) denote the statement “x is the capital of y.” What are these truth values?.2- Let P(x) be the statement “the word x contains the letter a.” What are these truth values?.1- Let P(x) denote the statement “x ≤ 4.” What are these truth values?.Find below the solution to the first five exercises from the text-book: Discrete Mathematics and Application by Rosen.
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