7. Consider the operation a * b = a + b – ab on the set S = Z. a) Is this operation commutative? Justify your answer. b) Is this operation associative? Justify your answer. %3D

Q: &2/ suppost se =20, 1} and c={208{ fie ld =20,18 and e= Enumerate the class of all 6- Containing C…

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Q: Hamilton circuit

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Q: disprove the fallowing A,B and C; of for D PLAUB) - P (A) U P (B) ll

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Q: 4 Show that a + B = B +a for all a, BE C.

A: We can write alpha and Beta in general form of element of complex number.

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Q: 11. Use set identities or different proof method to show that: a) (B- A)U(C- A) = (BUC)- A b) (4 –…

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A: The mean number of oil tankers at a port city is 15 per day (λ) The port has facilities to handle up…

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Q: 3. Are the following sets countable or uncountable? Justify your answer with a proof. (a) {2" |n e…

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Q: 3. Evaluate using convolution theorem: ਕਰ S(514)

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Q: Which condition would prove ΔDEF ∼ ΔJKL?

A: Given problem is : Which condition would prove ΔDEF ∼ ΔJKL?

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Q: Let A be a 7*4 matrie. What must a and b in or der to TO= Ax?

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Q: (d) How many subsets V of A are there so that 1 € V or VOB= Ø? Explain.

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Q: v 26. Show that if a < c < b, then C-a b favg [a, b] = b favg [a, c] + b favg [C, b] a |

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Q: 7. Retermine whether the two *= 13 (mud 23) and x'= 15 (med) solvable . are

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Q: w Write down the de finition of IT. 5.

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Q: 3. Use the diagram below to prove AQUT ASUP,

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Q: Is it true or false A" |=| A|"?

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Q: 4. Prove that it cannot be the case that x EA\B and x EB\C. (Hint: prove via contradiction).

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Q: 3. Prove or disprove: If a | (b + c), then either a |b or a | c. h of the follo

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A: Given A={a,a,b,c} and B={a,b,c} we  have to show that A=B, for  this we will show that A⊂B and B⊂A…

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.