C. Determine if the specified operation is a binary operation on the given set. Justify your answer. 1) The operation subtraction on the set of natural numbers N. 2) The operation defined by a b = on the set of rational numbers Q except 0. 3) The operation * defined by a b = +vab on the set of real numbers R. %3D

Q: Using the digits 0,1,2,....8,9 determine how many of each type of the three-digit number can be…

A: Given digits 0, 1, 2, ............., 8, 9 Any three digit number with zero at its first place…

Q: Let set A={-6, -12/4, -5/8, 3,0, z}. List all the elements of A that belongs each set. Natural…

A:

Q: Determine whether each number is whole, integer, rational, irrational or real. (select all that…

A: Recall: Whole Number :The whole numbers are the numbers without fractions and it is collection of…

Q: Using the set {1,3,4,6,7,8,9}, how many odd numbers can we construct between 100-999 if no element…

A: An odd number is determined by the unit digit. If the unit digit is an odd number, then the number…

Q: provide a recursive definition for the set Y of all negative multiples of 7.

A: Consider the provided question, Recursive definition: Recursion is the general definition term for…

Q: Determine which positive integers ? have a. Exactly 2 positive divisors b. Exactly 4 positive…

A: A positive integer has exactly 2 positive divisors if and only if it is a prime number.

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.