Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11

# For Any Two Sets a and B, Prove That: a ∩ B = ϕ ⇒ a ⊆ B ′ - Mathematics

For any two sets A and B, prove that: $A \cap B = \phi \Rightarrow A \subseteq B'$

#### Solution

Let $A \cap B = \phi \Rightarrow A \subseteq B'$

$\Rightarrow a \in B'$

Thus,

$a \in A \text{ and } a \in B' \Rightarrow A \subseteq B'$

Concept: Universal Set
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#### APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 1 Sets
Exercise 1.6 | Q 9 | Page 27