Relation R in the set Z of all integers defined as R={(x,y):(x−y)is an integer}
Answers 1
Answer:
The condition is given as x-y is an integer where x and y are integers
Step-by-step explanation:
integers are a combination of negative numbers (-1,-2,-3,-4....), positive numbers (1,2,3,4,5,.....) and zero.
what ever values you take for x and y from integers the solution is always an integer.
x - y = integer
at x = 1, y = 2, then x - y = 1 - 2 = -1 ( -1 is an integer)
at x = 0, y = 2, then x - y = 0 - 2 = -2 ( -2 is an integer)
Hence x - y is an integer for all values of x, y €Z
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