Taking the set of natural numbers as the universal set, write down the complements of the following sets:(i) x : x is an even natural number (ii) x : x is an odd natural number (iii) x : x is a positive multiple of 3 (iv) x : x is a prime number(v) x : x is a natural number divisible by 3 and 5 (vi) x : x is a perfect square (vii) x : x is a perfect cube(viii) {x : x 5 = 8 } (ix) {x : 2x 5 = 9 } (x) {x : x ≥ 7 } (xi) {x : x epsilon N and 2x 1 > 10 }

Universal set and absolute complement

Universal Set Symbol, Definition & Examples

What are Raina and Jadeja?

Given the universal set = {x : x ∈ N and x < 20}, find: B = {y : y = 2n 3, n ∈ N} - Mathematics | Shaalaa.com

Use an element argument to prove the following statement. Assume that all sets are subsets of the universal set U. For all sets A, B, and C, (A - B) ∪ C = (A ∪ C) - B.