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Domain of a binary relation: R = [(x, y) { y = -2x + 1} is the set of {0,4,8}. Find its range?
  1. [-1, -9, -17]
  2. [0, 7, -16]
  3. [1, 9, 15]
  4. None of these
Explanation

To find the range of the binary relation R, substitute each value of x from the domain {0, 4, 8} into the equation y = -2x + 1:

For x = 0:

y = -2(0) + 1

= 1

For x = 4:

y = -2(4) + 1

= -7

For x = 8:

y = -2(8) + 1

= -15

The corresponding y-values are {1, -7, -15}. Adding 2 to each element in the set {-1, -9, -17} gives the range.

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