If P = {x: x < 3, x ∈ N}, Q = {x: x ≤ 2, x ∈ W}. Find (P ∪ Q) × (P ∩ Q), where W is the set of whole numbers.

This is a short answer type question as classified in NCERT Exemplar G i v e n t h a t : P = { x : x < 3 , x ∈ N } ⇒ P = { 1 , 2 } Q = { x : x ≤ 2 , x ∈ W } ⇒ Q = { 0 , 1 , 2 } N o w ( P ∪ Q ) = { 0 , 1 , 2 } a n d ( P ∩ Q ) = { 1 , 2 } ∴ ( P ∪ Q ) × ( P ∩ Q ) = { ( 0 , 1 ) , ( 0 , 2 ) , ( 1 , 1 ) , ( 1 , 2 ) , ( 2 , 1 ) , ( 2 , 2 ) }

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Maths NCERT Exemplar Solutions Class 11th Chapter Two Maths Class 11th Exemplar Solution

If P = {x: x < 3, x ∈ N}, Q = {x: x ≤ 2, x ∈ W}. Find (P ∪ Q) × (P ∩ Q), where W is the set of whole numbers.

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Payal Gupta | Contributor-Level 10

4 months ago

This is a short answer type question as classified in NCERT Exemplar

$\begin{array}{l} G i v e n t h a t : P = {x : x < 3, x \in N} \Rightarrow P = {1, 2} \\ Q = {x : x \leq 2, x \in W} \Rightarrow Q = {0, 1, 2} \\ N o w (P \cup Q) = {0, 1, 2} a n d (P \cap Q) = {1, 2} \\ ∴ (P \cup Q) \times (P \cap Q) = {(0, 1), (0, 2), (1, 1), (1, 2), (2, 1), (2, 2)} \end{array}$

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If P = {x: x < 3, x ∈ N}, Q = {x: x ≤ 2, x ∈ W}. Find (P ∪ Q) × (P ∩ Q), where W is the set of whole numbers.

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