Is a * b a +b+3 associative under the binary operation? a. Yes b. No c. Maybe d. Cannot be determined

Q: Define the operation x* y=x-y+xy. Which of the following best describes the operation def ined on…

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Q: is not a binary operation on Q*. a. + O b. - O c. * O d. None of them O e. /

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Q: a b = a - b is a commutative binanry operation on Z

A: Commutative operation means without changing the operation the values doesn't change.

Q: Show that addition and multiplication are associative binary operation onR. But subtraction is not…

A: Given operations addition, subtraction, multiplication and division.

Q: In RSA encryption p,g primes and {e,n} public key p,q primes and {e,n} private key p,q primes and…

A: We need to find the solution of the question " In RSA encryption , which numbers form public keys…

Q: Which of the following is a binary operation if a and b are in S? a.a*b = ab+ b², S= set of negative…

A:

Q: Consider a binary operation ∗ on N defined as a ∗ b = a3 + b3  . Choose thecorrect answer.(A) Is ∗…

A: Given:Consider a binary operation ∗ on N defined as a ∗ b = a3 + b3  . Choose thecorrect answer.(A)…

Q: Which are binary operations? E xplain who or why not . A) On the positive integers ,that is ,…

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Q: a * b = a – b is a commutative binary operation on Z

A: Explanation of the answer is as follows

Q: Does 2|0? O Yes, because 0 = 0· 0. O Yes, because 2 = 0 · 0. O Yes, because 0 = 2 · 0. O No, because…

A: We have to check

Q: Let * be a binary operation on Z defined by a*b = a +b-4 for all a , beZ. Which of the following is…

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Q: Which between the two binary operations on real numbers x and y are commutative? Justify your…

A: Given

Q: (S, *) is said to be algebraic binary structure if (A) * is binary operation on S (B) * is…

A:

Q: Let A = (0, 0, #, a) and let # be a binary operation from A X A to A presented by the following…

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Q: is not a binary operation on Q*. O a. + O b.

A: Let G be a set . A binary operation on G is a relation that assigns each ordered pair of element of…

Q: Is a *b a+2b - 3 commutative under the binary operation? a. Yes b. No Maybe d. Cannot be determined…

A: We need to check whether the binary operation defined by a*b = a + 2b -3 is commutative.

Q: Consider the binary operation ∧ on the set {1, 2, 3, 4, 5} defined bya ∧ b = min {a, b}. Write the…

A: Given:

Q: 4. Is the binary operation # defined on the set of real numbers commutative if a#b = a+ 2b + 4, Va,…

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Q: (S, *) is said to be algebraic binary structure if (A) * is binary operation on S (B) * is…

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Q: Which of the following binary operation is not closed in the set of real numbers? O a*b = Vab O…

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Q: In RSA encryption P,n primes and{e,n} public key P.q primes and {d,n} public key P.q primes and…

A: In RSA algorithm, we take two primes, p, q.

Q: Show that ∗ : R × R → R given by         (a, b) → a + 4b2 is a binary operation.

A: Given for all real number a and b

Q: Determine whether the following binary operations are commutative/associative on R2 1. (a,…

A: We want to check associativity and commutativity.

Q: Let L {ab, aa, baa}. Which of the following strings are in L*: abaabaaabaa, aaaabaaaa, baaaaabaaaab,…

A: Answer :

Q: Determine whether the following statements below is true or false. 1. (1/2)2<1/2, and 123 is…

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Q: 3. Let x/y= xy + x+ y be a binary operation in the set of integers. a. What is 4/-2? b. Is x/y…

A: a) -6 b) commutative c) Associative

Q: Define the binary operator* by: a+b = a +8b and V by: aVb=6 Find the following. When simplifying,…

A: Given operators: a * b = a + 8b   .......(1)  a ∇ b = 6    .......(2)

Q: Show that every- Boolean ving- is Commictative

A: To prove: Every Boolean ring is commutative.

Q: Let the binary operation *, be defined as a * b = a + 2b, where a and b are real numbers. a. What is…

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Q: If A= then A2021- A. %3D Select one: O True O False

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Q: is not a binary operation on Q*. a. + O b. - O C. * O d. None of them O e. /

A: To solve this problem, we use the standered defination of binary operation.

Q: Let x / y= xy + x+ y be a binary operation in the set of integers. What is 4 / - 2 ?

A: Given x/y=xy+x+y  With respect to the above binary operation, we have to find 4/-2

Q: a + (b + c) = (b + c) + a is an example of the commutative property. %3D O True O False

A: We use the definition of commutative property to find the answer.

Q: For each operation ∗ defined below, determine whether ∗ is binary, commutativeor associative.(i) On…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: ab = a – b is a commutative binary operation on Z

A: A binary operation * is called as commutative if for all a,b a*b=b*a

Q: Let A = (0, 0, 0, 0) and let # be a binary operation from A X A to A presented by the following…

A:

Q: Let the binary operation *

A: Given,          a*b=a+2b where a and b are real numbers

Q: Prove AX(B−C) = (AXB)−(AXC)

A:

Q: The number of 6-bit binary strings is Välj ett alternativ: a. 6 b. 16 c. 32 d. 64 e. other

A: The number of the 6-bit binary string is 64 Since it is a binary string so coded with only 0 and 1…

Q: which of the following is a binary operation if a and b are in S

A: To find:  Which of the given is a binary operation if a and b are in S

Q: Which of the following binary operation is not closed in the set of real numbers? O a*b = √ab O a*b…

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Q: Does 9|54? O Yes, because 6 = 54 O Yes, because 54 = 9 · 5. O Yes, because 54 = 9 · 6. %3D O No,…

A: Correct Answer =&gt;  Option C :- yes, because 54 = 9•5

Q: The binary operation defined as a*b=3a 2b is closed in all the given sets EXCEPT | O set of Natural…

A: Given operation is a*b = 3a - 2b

Q: Let * be a binary operation on N defined by a*b=Da-b+ab^2, then find 4*5. ***

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Q: Let L = {ab, aa, baa}. Which of the following strings are in L*: abaabaaabaa, aaaabaaaa,…

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Q: Which of the following is an associative binary eq Select one: O a. a * b = a b O b. (a b) c= a (b…

A: Option (b) is an associative binary operation.

Q: 16. (i) Is the binary operation a *b = a + b – ab commutative for all real numbers a, b? (ii) Is the…

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Q: Which one of the following options regarding the binary operation is FALSE? a b c d aadcb bbada…

A: We find Correct option.