Answer to Question #315714 in Discrete Mathematics for Donnel

Question

Let p and q be propositions

p: 4 is a rational number

q: √3 is an irrational number

Let P(x) denote the statement "x ≥ 10." what are the truth values

1. P(9)
2. P(12)
3. P(-10)
4. P(10)
5. P(0)

Let P(x) be the statement "x has develop a program in JAVA", where the domain for x consist of all student. write a statement in English corresponding to the for

1. ?x P(x)
2. ?x ~P(x)
3. ?x P(x)
4. ~?x P(x)
5. ~? ?x P(x)

Let P(x) denote the sentence 2x + y = 5. What are the truth values of the following where the domain of x and y is the set of all integers.

1. ?x ?y P( x,y)
2. ?x ?y P( x,y)
3. ?x ?y P( x,y)
4. ?x ?y P( x,y)

Answer 1

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