Do b, d, e, f

Do b, d, e, f

In this problem the domain of discourse is the set of all integers. Which statements are true? If an existential statement is true, give an example. If a universal statement is false, give a counterexanmple. a) 3x (x + x= 1) Solugion A Falss here is no integer such that 2x = 1 (b) 3x (x + 2 = 1) (c) (d) x (x2 -x+0) (e) x (x > 0) (f) 3x (x > 0) Feedback? The domain for this problem is a set a, b, c, d. The table below shows the value of three predicates for each of the elements in the domain. For example, Q(b) is false because the truth value in row b. column Q is F. Which statements are true? Justify your answer. (a) vx P(x) Solution a True. P(a). P(b), P(c), and P(d) are all true. (b) 3x P(x) (c) vx Q(x) Solution A False. Elements b, c, and d are all counterexamples. (d) 0(x) (e) vx R(x) (f) Ex R(x) u