Answer to Question #209755 in Discrete Mathematics for lama

Question

What are the truth sets of the predicates P(x), Q(x), and R(x), where the domain is the set of integers and 1. P(x) is “|x| = 4,” 2. Q(x) is “x2 = 16,” 3. R(x) is “|x| = x”

Answer 1

P(X) is "|X|=4"

Q(X) is "x^2=16"

R(x) is "|x|=x"

The truth set of predicates are-

In P(X) is |x|=4, Domain is set of integer , Since It is only true for 4,-4. So Truth value is False.

In Q(X) , It is only true for 4,-4 So Truth value is false.

In R(x), |x|=x, It is false , Domain is set of integers.But Range is the set of Positive integres. So Truth value is false.