Answer
a. P(2): 2 > 1/2 is true
P(1/2): 1/2 > $\frac{1}{1/2}$ = 2 is false
P(-1): -1 > 1/-1 is false
P(-1/2): -1/2 > -2 is true
P(-8): -8 > -1/8 is false
b. If the domain of P(x) is the set of all real numbers, then its truth set is the set of all real numbers x for which either x > 1 or −1 < x < 0.
c. If the domain of P(x) is the set of all positive real numbers, then its truth set is the set of all real numbers x for which x > 1.
Work Step by Step
The truth set of P(x) is the set of all numbers in the domain of P(x) for which P(x) is true.
