Find the truth set of each of these predicates where the domain is the set of integers.a) P(x): x3 1________________b) Q (x): x2 = 2________________c) R(x): x< x2

SolutionStep 1(a)According to the statement, a cube of a number is greater than equal to 1.Hence, the truth set be {x N | x3 1 } where the domain is a set of {1 , 2, 3, 4, ….}.Step 2(b)According to the statement, square of x is equal to 2.Hence, the truth set be {x Z | x2 = 2 } where the domain is a set of { }.