Chapter 1: Sets
Chapter 1: Sets
Exercise
Question
Question: 3 (ix)
19 / 32
19 / 32
Taking the set of natural numbers as the universal set, write down the complements of the following sets:
(ix) {x : 2x + 5 = 9}
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Answer
1
Simplify the equation (2x + 5 = 9) by moving constants to one side.
2x = 9 - 5
2x = 4
2
Find the elements of the set by solving the equation from Step 1.
x = 4 / 2
x = 2
Therefore, the given set = {2}
3
Find the complement of the given set by finding the elements of the universal set of numbers that are not elements of the given set.
Answer: {x : x $∈$ N, x $≠$ 2}
Reason: The set contains only the element 2. Therefore, its complement consists of all natural numbers except 2.