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What is Grade 8 Relations and Functions Worksheet about?

1. The relation R defined on the set of natural numbers N by R = {(a, b) ∈ N × N : a < b} is not reflexive because no element is related to itself. 2. The relation R defined on the power set P(A) of a non-empty set A by X R Y if and only if X intersect Y is equal to X for all X,Y in P(A) is not necessarily symmetric. 3. The relation R = {(1, 1), (2, 1)} in the set {1, 2, 3} is not transitive because (1, 2) is not included in R even though (1, 1)

Author

Adesh Kanna

Language

EN