State whether the propositions in parts (a) through (j) are TRUE or FALSE considering the following sets: X = (a, 1, (a, a), [a, 1], 0) Y = (a, 3, (a), [1, a]} (a) a EX (b) (a) EX (c) [a, 1] EX (d) [a, 1] EY (e) Ø EX (f) ØEY (g) ØSX (h) {Ø) ≤X (1) ([a, 3]) EXXY () (a, 1) x Y = (1, a) x Y with explanation why true and false

Q: (1) (bc' + a'd) (ab' + cd') (ii) b'd + a'bc' + acd + a'bc

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Q: Question 6. Use logical equivalences to show the following equivalences. Clearly indicate which law…

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Q: Question 11. Taking a (x), b(x) and c(x) to denote the statements "x E A", "x E B" and "x E C"…

A: Given: A∪B=A∪B-A A∪B⊆C≡A⊆C∧B⊆C ax, bx, and cx denotes x∈A, x∈B, and x∈C respectively. To do:…

Q: 19. Suppose that the domain of the propositional function P(x) consists of the integers 1, 2, 3, 4,…

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Q: Determine which of the following statements are true, and which are false. Explain! (a) {a} ⊆ {a, b,…

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Q: 1. (a) Give the definitions of Boolean connectives ¬, A, V,→, + as truth functions F, FA, Fy, F=,F»…

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Q: For each pair of statements, choose the one that is true. Ofe le,f} (a) o (6, 7, 8} e {1,2, 3, 4,…

A: The pairs of statements are given above in the question.

Q: Let A be the first-order logic formula \x³y²(x, ƒ(v), a), where P is a relation symbol, ƒ is a…

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Q: Construct a truth table for the following Boolean function showing all columns: (x + y')(x' + z')(y'…

A: 1'=0 0'=1 1+1=1+0=0+1=1•1=1 0+0=1•0=0•1=0•0=0

Q: Convert the following First Order Logic (FOL) sentence to Conjunctive Normal Form (CNF): Vx(Vy-P(y)…

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Q: QUESTION 2 Show using a truth table that (p (p vq))→ p is a tautology. р T T F F q T F T F קר pvg РА…

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Q: 1. (a) Give the definitions of Boolean connectives , A, V,=, + as truth functions F-, FA, Fv, F=, F…

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Q: Which is the contrapositive of A==> B? (a) B ==> A (b) -,B ==> A (c) -,B ==> -,A (d) -,A…

A: Which is the contrapositive of A==> B?

Q: Let the Universal set be U = (1, 2, . 20), A= (1,6.11,19) and B = (6, 11, 14, 7) f(A - B) (1) = (A5…

A: Since you have posted multiple questions. I am answering the three parts. Please post the question…

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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: 5) Let the domain of discourse be the set of real numbers. Indicate which propositions are true and…

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Q: (p O q) ^ (pЬq) = O Contradiction O p O Tautology

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Q: (i) If A and B are two sets such that ACB, then m* (A) ≤m* (B).

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Q: (-pAq) v (pA-q) is a tautology

A: Tautology means always True.