Ex 1.3

Chapter 1 Class 11 Sets
Serial order wise

### Transcript

Ex 1.3, 2 Examine whether the following statements are true or false: (vi) {x: x is an even natural number less than 6} ⊂ {x: x is a natural number which divides 36} Natural number = 1, 2, 3, 4, 5, 6, 7, 8,…. Even natural number = 2, 4, 6, 8,… {x: x is an even natural number less than 6} = {2, 4} ⊂ - is a subset A ⊂ B if all elements of A are in B {x: x is a natural number which divides 36} 36 = 1 × 36 36 = 2 × 18 36 = 3 × 12 36 = 4 × 9 36 = 6 × 6 Thus, {x: x is a natural number which divides 36} = {1, 2, 3, 4, 6, 9, 12, 18, 36} So, {1, 2, 3, 4, 6, 9, 12, 18, 36} has all the elements of {2, 4}. ∴ {x: x is an even natural number less than 6} ⊂ {x: x is a natural number which divides 36} So, the statement is True

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#### Davneet Singh

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.