11. Reasoning Complete the following proof by providing the reason for each statement. Given: Z1 = Z2; WX = ZY Prove: 23 = Z4 Statements Reasons 1) Z1 z 2; WX = ZY 1) ? REASONS BANK: Choose 2) WP = ZP 2) from the following 3) 2 4) ? 3) AWXP eAZYP reasons! 4) XP = YP 5) Z3 = 24 |5) *Converse of Isosceles Triangle Theorem * CPCTC (Corresponding parts of congruent triangle s are congruent) 1. * Given * SAS * Isosceles Triangle 3. Theorm 4. 5. 2.

Q: 6) Show that each of these conditional statements is a tautology without using truth tables. a) (-p…

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Q: 15. Evaluate L s-3 A) 2e e" +t- 61 +t-61° B) 2e " +1-6t -1– 61 C) 2e" +t-3t² D) 2e" +1-3t

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Q: 1.)w ˂ 7 2.) h ≤ 6 3.)2x + 5y ≥

A: Given,      1.)w < 7 2.) h ≤ 6 3.)2x + 5y ≥ 10 4.)12 ≤ 3w + 2m 5.) M = 45

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Q: nese statements logically equivalent? Are they satisfiable? Give your n. -p → (q → r) and q → (p V…

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Q: 1. Here is a model M: Domain: {1,2, 3, 4, 5} P: {1,3,5}, Q : {2,4, 5}, R : (0, S : {3,4} a : 3, b :…

A: We have a model M: Domain : 1,2,3,4,5 P: 1,3,5, Q:2,4,5, R:ϕ, S:3,4 a:3, b:4 Now, we will check…

Q: s it the case tha your answer.

A: a) φ→ψ Here, ω=tatology

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Q: (Jɔ ~ K) uctive Dilemma

A: given as, Premise: J⊃KConclusion: J⊃K.J⊃~K

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Q: 5. Prove that if X, 4 X and Y,n 4Y, then X, + Y, 4 X + Y. Hint: Use an argument similar to the…

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Q: What is the rule of inference or propositional logic is used below: -R--> -P -P --> S ::-R --> S (A)…

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A: We use the logic expression to find if the proposition is true or false.  For this, ∨ is used for…

Q: p→ q) → r) → S = O Contingency O Tautology O Contradiction O Not a Well-formed Formula

A: Given,           statement is ((p → q) → r) → s .

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Q: Consider the following statement: 3x, y, x+y= y. From the options provided below, which universal…

A: Given statement  , x+y = y  So it means there exist x such that for all y x + y = y x = 0

Q: What kind of WFF is this? (Pv~Q) ~Q) = P V T FT TT TT TE TT F F FT T F FT TE F F a. contingent…

A: 28)Given that : P∨~Q≡P Truth table : P ∨ ~ Q ≡ P T T F T T T T T T F T T F F F T T F F T…

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Q: Statement Reason E. (s Ab)k - (SAb)c 1. (s Ab)→k 1. 2. -k 2. ~k 3. ~ (sab) 3. 4. ~ (SAb) →c 4. 5. c…

A: Since you have posted multiple questions and we can answer one question. So answer provided for…

Q: 1. " (X." Y) v (B · C)

A: The statement is given,

Q: 1.) Postulates: 1. Lovable people have many friends 2. Logical people are lovable. 3. Geometry…

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Q: I. Prove the following statements using the indicated proof. 2.) Let a, b€ Z. If 7a – 4b + 6 is…

A: we know that if x=2y ,if x and y are any integer then x is even number. and if x=2y+1 ,if x and y…

Q: (c) Every element in the set {0, 1, 2} is greater than or equal to half of its square. i. Original…

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Q: gic and English lomain is food Symbol Meaning T(x) x is tasty H(x) æ is healthy I (x, y) x is an…

A: Given- Symbol Meaning T(x) x is tasty H(x) x is healthy I(x, y) x is an ingredient in y…

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: 10. Write a valid conclusion for each argument A) ab B) a-b C) аль a

A: (a). For the given argument  a↔b~a--- Since the first argument is a is implies and implied by b and…

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)…

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Q: 5. What is the negation of each of these propositions? a) Mei has an MP3 player. b) There is no…

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Q: 1. Here is a model M: Domain: {1,2,3, 4, 5} P: {1,3,5}, Q : {2,4, 5}, R : 0, S : {3,4} a : 3, b : 4…

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Q: 1. Here is a model M: Domain: {1,2, 3, 4, 5} P: {1,3,5}, Q : {2,4, 5}, R : Ø, S : {3,4} a : 3, b : 4…

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Q: 1.)P V 2-) PANg .pr

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Q: 4. Which of the following is logically equivalent to (p V¬q)^(¬p V-¬q) ^(¬q Vr) а.)p b.)q с.) —р…

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