Question
Download Solution PDFIf S = {x : x2 + 1 = 0, x is real}, then S is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
- If a set does not contain any element than it is called empty set.
- i = \(\sqrt { - 1}\)
Calculation:
Given that,
S = {x : x2 + 1 = 0, x is real}
⇒ x2 + 1 = 0
⇒ x2 = - 1
⇒ x = ±√(-1)
⇒ x = ± i imaginary
But given that set only contain real value of x but after solving x2 + 1 we will get only complex value so both are contradict to each other, So we can say that set does not have any value in it. it is an empty set.Last updated on Jun 18, 2025
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