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COMEDK20269 May 2026Morning ShiftMathematicsFunctionsActual

Consider the following list of ordered pairs: (1, 0), (-2, -1), (7, -6), (-3, 4) and (0, 2) Which of the following options correctly identifies only those pairs that are NOT elements of the relation R = (x, y) : y = 1 - |x| ,; , x, y Q ?

Options

  1. A(-3, 4), (0, 2)
  2. B(0, 2), (-2, -1)
  3. C(1, 0), (-2, -1)
  4. D(-3, 4), (7, -6)

Correct answer

A. (-3, 4), (0, 2)

Step-by-step solution

The given relation is R = (x, y) : y = 1 - |x| ,; , x, y Q . Checking each ordered pair by substituting x into the equation y = 1 - |x| : For (1, 0) : 1 - |1| = 1 - 1 = 0 = y . This belongs to R . For (-2, -1) : 1 - |-2| = 1 - 2 = -1 = y . This belongs to R . For (7, -6) : 1 - |7| = 1 - 7 = -6 = y . This belongs to R . For (-3, 4) : 1 - |-3| = 1 - 3 = -2 4 . This does not belong to R . For (0, 2) : 1 - |0| = 1 - 0 = 1 2 . This does not belong to R . The pairs that are not elements of R are (-3, 4) and (0, 2) . Answ

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