Ex 1.3, 1 - Chapter 1 Class 11 Sets - Part 7

Ex 1.3, 1 - Chapter 1 Class 11 Sets - Part 8


Transcript

Ex 1.3, 1 Make correct statements by filling in the symbols ⊂ or ⊄ in the blank spaces: (vii) {x: x is an even natural number} … {x: x is an integer} Natural numbers = 1, 2, 3, 4, 5, 6,… Even natural numbers = 2, 4 ,6,…. So, {x: x is an even natural number} = { 2,4, 6,…..} Integers = ….-3, -2, -1, 0, 1, 2, 3…… So, {x: x is an integer} = {….-3, -2, -1, 0, 1, 2, 3……} Since all even natural numbers are integers ⊂ - is a subset ⊄ - is not a subset A ⊂ B if all elements of A are in B So, {x: x is an even natural number} is a subset of {x: x is an integer} ∴ {x: x is an even natural number} ⊂ {x: x is an integer}

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.