Determine the line and the reason for the entry on line 4 given the following part of a formal proof of validity: 1. E = (FA ¬G) ... 2: (F V G) = H 3. Е :. H 4. FA¬G 5. F 6. FVG 7. H (A 1,2 HYPOTHETICAL SYLLOGISM B 1,3 MODUS PONENS 1 ABSORPTION LAW 12 DE MORGAN'S LAW

Q: 2. In 2, M, R, and T are the midpoints of AB, BC and CA, respectively, in AABC. If AB = 22 cm, BC =…

A: Given: M, R, and T are the mid points of AB¯, BC¯, and, AC¯ respectively. AB = 22cm, BC = 12cm, AC =…

Q: b) Write the contrapositive and the converse of: p^q = pV¬q

A: given statement: p∧q⇒p∨¬q We need to find the contrapositive and converse the given statement:

Q: 2.) 9/4 and 13/8

A: The two numbers are 94 and 138

Q: Make use of De Morgan’s Laws to write the given statement in an equivalent form. 18. Angel will go…

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Q: Let 10 ร 0 2 Which of the following statements are correct? (Zero or more options can be correct) W…

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Q: s this a valid arguement? (Syllogisms) All  rangers are enviornmentalists All rangers are story…

A: All  rangers are enviornmentalists All rangers are story tellers.  Therefore, all enviornmentalists…

Q: In the following proof, what is the justification for line 5? 1. P₁ → (P₂V P3) - P3 3. P₁ 4. P₂ P3…

A: In the proof provided, step 5 follows from step 4 using a logical rule called "disjunction…

Q: Given: If X, then not Y. If not Y, then Z. Y is true. So: 1) x is true, z is true 2) x is unknown,…

A: Given that X→¬Y                  (1) ¬Y→Z                  (2) Since if X, then not Y does not…

Q: The contrapositive of the statement p>q is

A: If the conditional statement is  p⇒q then the contrapositive statement is  ~q⇒~p

Q: 9. Given "If they offer me $14 an hour, I'll take the job" , which of the following is the inverse…

A:

Q: 2. Translate the following statements into symbolic form using the following scheme of…

A: M : Gregory is moral B: Gregory is beautiful L: Natalie is lucky symbols '∧':and'∨':or'⇒':…

Q: 4. Let the statement A be given by A: (not p) implies (q and r). For which value is A = 0? O none of…

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Q: 3. Let the statements A, B be A: (not p) and q, B: (not p) or (not q). If p = 0 and q = 1, then O A…

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Q: 2.) Postulates: 1. Olympic medal winners smile a lot. 2. People who love the sea are great swimmers.…

A:

Q: A. Which of the following are true statements? a. Is (0, 1) = (0, 1)? b. Is (0, 1) = (1, 0)? c. Is…

A: Two ordered pairs (a,b) = (c,d) are equal iff a = c, b =da. (0,1) = (0,1) is trueb.(0,1) ≠( 1,0)…

Q: 12 What is the converse of the statement "If Alicia goes to Austin, then Renato goes to Round Rock"?…

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Q: Complete the formal proof of this argument: 1. ~(A&B) 2. ~(A&~B) Thus, Remember: justify subproof…

A: Answer: 1.~(A&B)                       Premise 2.~(A&~B)                     Premise 3. I~~A…

Q: 1. The following statements are all false. Do not simply negate the statement. Give a counterexample…

A: We have to show given statements are false without simplifying them.

Q: My 9- 6-4-2 O 4 A. AJKL = AMNO IN

A:

Q: i. Give three arguments (P₁, a₁), (P2, a2), and (3, 3) (i.e. give the formulae in the premises and…

A: Given two scenarios of premises and claims. The aim is to show its validity and give counterexamples…

Q: Let A = {12, 13, 14, 15, 16} B = {14, 15, 17, 18) C = {12, 14}. Fill in the blanks by C or ¢ to make…

A:

Q: 2. If Mr. Eugene is the manager's neighbor, then Mr. Eugene lives halfway between Talisay and…

A: We can use formal proof of validity.

Q: 1) Show that the following pairs are logically equiw a) р^(qVr) (pAq)V(pAr) b) pV(qAr) (pVq)A(pVr)

A: Given: p∧q∨r; p∧q∨p∧rp∨q∧r; p∨q∧p∨r

Q: Which sentence is most clearly narrated in third-person omniscient point of view? ○ A. The strange…

A: In literature, the third-person omniscient point of view is a method of storytelling in which the…

Q: Subject : Logic and Critical Thinking  I need explanation Answer   Q: Identify validity of the…

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Q: 13) AVUT ACDE

A: Given,           The two triangles are similar , i.e ∆VUT~∆CDE.

Q: Let A = {a, b}, B = {a, {b, c}}, and C = {{a, b}, c}. State whether the following are true or false…

A: The objective of the question is to determine the truth or falsity of several statements involving…

Q: a) Write the following statement in symbolic forms (i) If either Pakistan government acts against…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: Translate the following logical statements into words. w (pA) Suppose that: p : I practice an hour a…

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Q: Classify the following into axiom, implication, deduction, inference, inductive reasoning or…

A: Axiom: A statement or proposition that is accepted as true without requiring proof, serving as a…

Q: Determine the line and the reason for the entry on line 3 given the following part of a formal proof…

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Q: Use C.P. or I.P. or both to construct proof for the following: Premise 1: (~ C . (F v E)) v (C . ~…

A: Let us start solving step by step and prove the conclusion from the given premises

Q: It’s the same problem use words to explain pleas

A: Continuous uniform distribution:A random variable X is said to have the rectangular distribution or…

Q: B. Determine a valid conclusion that follows from each of the following staternents and explain your…

A: We need to determine a valid conclusion from each of the given statements.

Q: 6) Using the following sets, determine if each statement is true or false. P = {Belgium, Canada,…

A:

Q: 5. Consider the following contingency table which shows the numbers of endangered and threatened…

A: "As per bartleby guidlines, we will solve the first three sub parts only, to solve the remaining…

Q: On a certain island, there are two types of people: Matapats, who always tell the truth, and…

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Q: following statements must also be TRUE?

A: Given statement, 'If I am dancing like a robot, then this test is over'