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Sets, Relations and Functions Test - 42
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Sets, Relations and Functions Test - 42

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  • Question 1/10
    4 / -1
    Let A = {(x,y) : y = ex , x ϵ R}, B = {(x,y) : y = e-x , x ϵ R} then
    Solutions

  • Question 2/10
    4 / -1
    Let R be a relation in N defined by R={(1 + x, 1 + x2 ) / x < 5, x ϵ N} which of the following is false ?
  • Question 3/10
    4 / -1
    The relation ≤ on numbers has the following properties.
    (i) a ≤ a ∀ a ϵ R (Reflexivity)
    (ii) If a ≤ b and b ≤ a then a = b ∀ a, b ϵ R (Antisymmetry)
    (iii) If a ≤ b and b ≤ c then a ≤ c ∀ a, b ϵ R (Transitivity)
    Which of the above properties the relation ⊂ on p(A) has ?
    Solutions

  • Question 4/10
    4 / -1
    A Relation R is defined in the set of integers I as follows (x,y) ϵ R if x 2+ y2 = 9 which of the following is false ?
    Solutions

  • Question 5/10
    4 / -1
    Let R be the real line consider the following subsets of the plane R × R ,S = {(x, y) / y = x + 1 and 0 < x < 2}, T = {(x, y) / x - y is an integer}.Which one of the following is true ?
    Solutions

  • Question 6/10
    4 / -1
    Let W denotes the words in the English dictionary Define the relation R by R = {(x, y) ϵ W × W the ward x and y have at least one letter in comman} Then R is
    Solutions

  • Question 7/10
    4 / -1
    Which one of the following relations on R is an equivalence relation ?
    Solutions

  • Question 8/10
    4 / -1
    Which of the following defined on Z is not an equivalence relation.
    Solutions

  • Question 9/10
    4 / -1

    Solutions

  • Question 10/10
    4 / -1
    The relation R defined on the let A = {1,2,3,4,5} by R = {(x, y) / | x2 - y2 | < 16} is given by
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