Which of the following best describes the range of a relation ?

MATHEMATICS · Single correct · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Which of the following best describes the range of a relation R⊆A×BR \subseteq A \times B? (a) A×BA \times B (b) { b∈B∣∀a∈A , (a,b)∈R }\{\,b \in B \mid \forall a \in A\,,\,(a,b) \in R\,\} (c) { b∈B∣∃a∈A , (a,b)∈R }\{\,b \in B \mid \exists a \in A\,,\,(a,b) \in R\,\} (d) { a∈A∣∃b∈B , (a,b)∈R }\{\,a \in A \mid \exists b \in B\,,\,(a,b) \in R\,\}

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