21. What is the diameter of the circle with equation (x - 1)2 + (y + 1) = 4 ? a. 1 b. 2 C. 4 d. 16

Q: Use a truth table to verify the distributive law p A (q v r) = (p A q) V (p Ar)

A: Truth table for some operations :-  p q p∧q p∨q T T T T T F F T F T F T F F F F Here,…

Q: Given the proportion: [r→ s, p → ~q, p ^ ~s, q V r] + [(s → q) V (~r →~ p)]. Using Truth Table,…

A: The truth table, p q r s ~p ~q ~r ~s r↔s p↔~q p∧~s q∨r T T T T F F F F T F F T T T T F F F F…

Q: give the negation and contrapositve  of   'Everthing that is discrete is mathematics'.

A:

Q: (a) A\(Cn B) = (A\B) U (A\C); (b) (AUB)\C = AU (B\C); (c) A\(CUB) = (A\B)\C.

A: This is a problem related to set theory. Please follow the procedure given below. As per bartleby…

Q: P⇒ (PVQ)

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Q: Use the eighteen rules of inference to derive the conclusions of the symbolized arguments. The…

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Q: costruct the truth table of ~q→(~p∨q)

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Q: .Let P(x) be the statement "x = x." If the domain con- sists of the integers, what are these truth…

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Q: Consider the statements: A: Vp.Q((-p-9--9-)) 8. Vp.q((p-q-)) Which claim is true? 3- (9 ATE VTE OA…

A:

Q: Consider the following statements: f: The tour will not go to Italy. g: The hotel fees are not…

A:

Q: Simply the folloing statement without using logical table: (¬p^ (¬q Ar)) v (q ^r ) V (p A r) V¬r…

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Q: ‡n € Z+ : ) ((n 1)).

A:

Q: Complete the following truth table PQ P=Q Q=P_ (P=Q) ^ (Q = P) T T T F FT F F

A:

Q: 12. Write the truth table for (p→q)^(q→ r).

A: We need to write truth table of (p→q)∧(q→r)

Q: Construct a truth table for P^Q. Construct a truth table for P⇒ (~ Q). What do you notice about the…

A:

Q: Let P(x) be the statement "x = x²." If the domain consists of the integers, what are these truth…

A: Given- Px be the statement "x=x2". The domain consists of the integers. To find- The truth values.

Q: 13. The truth value of the statement * VxVy( -x + y),x, y e R O False O True

A: The statement is for all x and y  x2-y2x-y=x+y [x,y belongs to real numbers] To find: this statement…

Q: If p and r are true statements and q and s are false statements, determine the truth value of each…

A:

Q: (Discrete Math) Using the rules of logic, prove the (picture) is a tautology:

A: To prove - Using the rules of logic, prove that p ∧ q ⇒ p ⇒ r ⇒ p ⇒ r¯¯ is a tautology.

Q: Fill in ¬(p ^ q) V¬p.

A:

Q: 23. Let P, O, and R be varlab tautology. d) "(P v Q)→'P^Q

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Q: Using the image below; (i) Determine if the following statement is tautology: (ii) if yes or no,…

A: We have to check whether the given statement is tautology or not. We know, a statement is Tautology…

Q: Suppose proposition g is TRUE and propostion d is FALSE. Select all the TRUE statements. OgA ¬d OdAg…

A: Given, g is true and d is false . To find the true statement . Since g is true and d is false so…

Q: State the rule of inference by which its conclusion follows from its premise or premises. - (J · K)…

A: Given: ~J . K . L⊃ ~M∴ ~J . K

Q: (b) Express the compound statement in English. ~pVr → q

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Q: Draw the truth table and the logic circuit F = xy' + x'z

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Q: (b) Let M = {d, i, {m}, a, t, h, s}. Justifying your answers, say whether the follow- ing are true…

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Q: 8- Which one of the following proposition is equivalent to not (Vx3y (x = y²)) 3x Vy (x = y²) Vy 3x…

A: Given: The given proposition is equivalent to not∀x∃yx=y2

Q: In the following proof, what is the statement on line 6? 1. 2. P₁ → (P₂v P3) (P₂) P3 3. P, 4. P₂ V…

A: Let us solve the  above problem by using the rules of inference.

Q: p=T, q= F, and r = T. Select the expression that evaluates to false. 1) (q^r) → p 2) (p^r) →q 3) (q…

A: Since, ,that is p is true, q is false and r is true.(1) So,   is F and negation of this is F,  (2)…

Q: Let R be the set of all real numbers and let a, b eR Ə a> 0 and b > 0. Which of the folbwing is/are…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 3. If p is true, c (F), or if you true or false, Statement Truth V pVr T F

A: Given that p is true,q is false and r is false and w is not known.

Q: District math Which of the following is the opposite of the proposition "if n is odd, then n^2 is…

A: The given statement is "If is odd then is odd".To find the opposite of the statement.For the…

Q: Which statement is true? @ 극x because> 1. (B) 13 15 13 © 속x>속 because because >1.

A: We have to check