can we conclude "I am not sore" from "If I play hockey, then I am sore the next day. I use the whirlpool if I am sore. I did not use the whirlpool." Select one: True False
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- Let p = “Sophie has been arrested” and q = “Bubba’s never been arrested.” Write the symbolic form of You’re saying that Sophie’s been arrested? That is totally not true. (A) ~q (B) p (C) ~(~p) (D) ~pWhat is the result of the following Boolean expression, given that x = 5, y = 3, and z = 8?x < y and z > x A. 5 B. 8 C. False D. TrueA proposition Q follows from a proposition P, if Q is never false when P is true. Suppose we want to check this in a particular case. Which of the following is correct? Select one: a. We need to check that whenever P is false, Q is also false. b. We need to check that whenever Q is false, P is also false. c. We need to check that whenever Q is true, P is also true. d. We need to check that Q is true when P is true, and that Q is false when P is false.
- 5. Suppose X and Y are both TRUE, A and B are both FALSE, P and Q are unknown, which of the following can have the identifiable truth value? a. (P ∨ X) → B s. ( X ∧ Y) → P d. (P→X) ∧ Q f. (A ∨ P) ⇔ XSuppose that p and q are statements so that p → q is false. Find the truth values of each of the following. p TrueFalse q TrueFalse ~p → q TrueFalse p ∨ q TrueFalse q → p TrueFalseTrue or False: for each of the following statements, decide if it is true or false. If it istrue, then provide a proof; if it is false, provide a counterexample.(a) For events A, B, it is always the case that Pr(Bn.A) < Pr(B).(b) For events A, B with Pr(A) > 0, it is always the case that Pr(B | A) < Pr(B).
- If p is true , q is true and r is false; what is the truth value of (p∨∼q)∧r? a. true b. falsei need answer of all. if any answer will be skipped, your answer will be rejected. only complete answer will be accepted. b) Make a truth table for the statement ¬P ∧ (Q → P). What can youconclude about P and Q if you know the statement is true? a) Make a truth table for the statement (P ∨ Q) → (P ∧ Q). c) Make a truth table for the statement ¬P → (Q ∧ R).Let ?, ?, and ? be true, false and false, respectively. Determine the truth value of the following? a.) (? → ?) ∧∼ ? b.) ? ↔ (? ∧ ?)
- Suppose that p and q are statements so that p → q is false. Find the truth values of each of the following. (a) ~p → q TrueFalse (b) p ∨ q TrueFalse (c) q → p TrueFalseWhat is the outcome of the following given that isAwake = true, num1 = 7, num2 = 56, name = "John" and specialSymbol = "o"; (isAwake ==(num2 == num1)) && (name.endsWith(specialSymbol)) Select one: True FalseAnswer all of the following with True or False.