3 Suppose x € Z, y € Z, z E Z, function P(x,y) is x+ y² +z= 1. Determine the truth value of the follows and explain why. Vxay3z P(x,y,z) VxVy3z P(x,y,z) VxVz3y P(x,y,z) • 3x3y Vz P(x,y)

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Q: 2. (set operations 1) Let A = {3,4,5,6) and B = { EN 5 ≤ 1 ≤9}. Dete (a) An B (b) A\B (c) B\A (d)…

A: A={3,4,5,6}B=  the set of natural numbers from 5 to 9, inclusive. So, (B = {5, 6, 7, 8, 9}).

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A: The given statement is                                          P(x): x22=x

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A: Simplify the logic function:

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

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Q: 1.3x)(P(x)→Q(x)) and Vx(Px)→3xQ(x) are logically equivalent true or false

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A: We can prove by showing complement of a set is open.

Q: 1. Let P(z, y) = "I + y = 0", Q(z, y) = "r+y = 2" and O(r) = "z is an odd mumber", where the domain…

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Q: 4. Given P(x):x>3,Q(x):x<4, the domain D={2,5} Please identify the truth value of Vx(P(x)→Q(x)).

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Q: Let P(x, y) be the statement "Student x has taken class y," where the universe of discourse for x…

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A: In this question we find the truth value for each proposition.

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Q: 6. Are the statements true or false? Prove or give a counter example. (i) (3æ)(Vy)(x + y = 2).…

A: Hello, thanks for your question but according to our policy I am answering the first three subparts.…

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Q: X       P(X=x) 2         0,10 3         0,20 4         0,30 5         0,40   P(3 ≤  X  ≤4 )= ???

A: Given, The probability distribution of X is: X 2 3 4 5 P(X=x) 0.10 0.20 0.30 0.40

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Q: IV. Determine the possible truth values of [(P → Q)A(R → S)] → [(PAR) (QVS)]. You are allowed to add…

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Q: Given U = { s,u,p, e,r,m,a,n , d , c , 1 ,9,7,4} A = {c, a,r,p,e,n,4,7 ,9} B = { s, p, a, m , 7 , 1}…

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A: X only if y It means X can occur only if y has occured. X can happen only when we have y.

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A: Consider the open sentence                                          P(x,y) : x + y is prime number.…

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A: Let, P(x, y, z) denote the statement "x+y≤z", where x, y, z ∈ℤ+.

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Q: Exercise 2. Domain D: {students}, Domain E : {math classes}, Predicate: P(x, y) = x has taken y.…

A: Here, we have to convert given symbolic statements into English