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Draw Venn diagrams to show the relationship between the follow

Question

Draw Venn diagrams to show the relationship between the following pairs of sets:
$A = {x ∣ x \in N, x = 2 n, n \leq 5}$ and $B = {x ∣ x \in W, x = 4 n, n < 5}$

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Draw Venn diagrams to show the relationship between the following pairs of sets:

A = {x ∣ x \in N, x = 2 n, n \leq 5}

and

B = {x ∣ x \in W, x = 4 n, n < 5}

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Text solutionVerified

From the question it is given that,

A = {x ∣ x \in N, x = 2 n, n \leq 5}

x = 2 n = (2 \times 1) = 2, \dots (2 \times 5) = 10

A = {2, 4, 6, 8, 10}

B = {x ∣ x \in W, x = 4 n, n < 5}

x = 4 n = (4 \times 0) = 0, \dots (4 \times 4) = 16

B = {4, 8, 12, 16}

A \cap B = {4, 8}

Therefore, the sets are overlapping. An adjoining Venn diagrams to show the relationship between the A and B sets,

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Question Text	Draw Venn diagrams to show the relationship between the following pairs of sets: $A = {x ∣ x \in N, x = 2 n, n \leq 5}$ and $B = {x ∣ x \in W, x = 4 n, n < 5}$
Answer Type	Text solution:1
Upvotes	150