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Find, If the Following Sets Are Empty: B = {X : X2 + 4 = 0, X ∈ N} - Mathematics

Sum

Find, if the following sets are empty:

B = {x : x2 + 4 = 0, x ∈ N}

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Solution

B = {x : x2 + 4 = 0, x ∈ N}

x2 + 4 = 0

⇒ x2 = -4

⇒ x = `sqrt(-4)` which is not a natural number.

But x ∈ N

∴ B = { }

∴ Given set B is an empty set.

Concept: Types of Sets
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APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 6 Sets
Exercise 6 (B) | Q 5.3 | Page 67
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