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CA Foundation · Quantitative Aptitude · Sets, Relations and Functions, Limits and Continuity

A relation R from set A = {1, 2, 3, 4} to set B = {1, 2, 3, 4, 5, 6} is defined by R = {(x, y) : y = x + 2}. What is the range of R?

The range is {3, 4, 5, 6}. Applying y = x + 2 to x = 1, 2, 3, 4 gives the pairs (1,3), (2,4), (3,5), (4,6), all within B. The range is the collection of second elements of these pairs.

  1. A{3, 4, 5, 6}Correct
  2. B{1, 2, 3, 4}
  3. C{2, 3, 4, 5, 6}
  4. D{3, 4, 5}

Explanation

For x = 1, 2, 3, 4 we get y = 3, 4, 5, 6, all in B. So R = {(1,3),(2,4),(3,5),(4,6)}. The range is the set of second elements, {3, 4, 5, 6}. Option {1,2,3,4} is the domain, and {2,...,6} wrongly includes 2.

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