Ex 1.3, 2 (vi) - Chapter 1 Class 11 Sets
Last updated at Dec. 16, 2024 by Teachoo
Last updated at Dec. 16, 2024 by Teachoo
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
Ex 1.3
Ex 1.3, 1 (ii) Important
Ex 1.3, 1 (iii)
Ex 1.3, 1 (iv) Important
Ex 1.3, 1 (v) Important
Ex 1.3, 1 (vi)
Ex 1.3, 1 (vii)
Ex 1.3, 2 (i) Important
Ex 1.3, 2 (ii)
Ex 1.3, 2 (iii) Important
Ex 1.3, 2 (iv)
Ex 1.3, 2 (v) Important
Ex 1.3, 2 (vi) You are here
Ex 1.3, 3 Important
Ex 1.3, 4 (i)
Ex 1.3, 4 (ii) Important
Ex 1.3, 4 (iii)
Ex 1.3, 4 (iv) Important
Ex 1.3, 5 (i)
Ex 1.3, 5 (ii) Important
Ex 1.3, 5 (iii) Important
Ex 1.3, 5 (iv)
Ex 1.3, 6 (i)
Ex 1.3, 6 (ii) Important
Ex 1.3, 6 (iii)
Ex 1.3, 6 (iv) Important
Ex 1.3, 7
Ex 1.3, 8 Important
Question 1 Important
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