What is the interval notation for {x : x ∈ R, 3 < x ≤ 7}?

The interval is (3, 7]. The symbol '(' is used for strictly greater than and ']' is used for less than or equal to.

Define an Empty Set in Set Theory.

An empty set, denoted by φ or { }, is a set which does not contain any element.

(1) (A ∪ B)' = A' ∩ B' and (2) (A ∩ B)' = A' ∪ B'.

EMRS PGT Maths Chapter 1: Sets & Intervals Questions and Answers

Medium: English/Hindi Part II: Subject Knowledge Syllabus: 2025-26