State, If the Following Pair of a Set is Equivalent Or Not: a = {X : X ∈ N and 11 ≥ 2x – 1} and B = {Y : Y ∈ W and 3 ≤ Y ≤ 9} - Mathematics

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Sum

State, if the following pair of a set is equivalent or not:

A = {x : x ∈ N and 11 ≥ 2x – 1} and B = {y : y ∈ W and 3 ≤ y ≤ 9}

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Solution

A = {x : x ∈ N and 11 ≥ 2x -1}

11 ≥ 2x -1

⇒ 11 + 1 ≥ 2x -1+1

⇒  12 ≥ 2x

⇒  `(12)/(2)` ≥ x

⇒  6 ≥ x

∴ A = {1, 2, 3, 4, 5, 6}

∴ n(A) = 6

B = {y : y ∈ W and 3 ≤ y ≤ 9}

∵ 3 ≤ y ≤ 9

B = {3,4,5,6,7,8,9}

n (B) = 7

Cardinal number of set A = 6 and cardinal number of set B = 7

Set A and set B are not equivalent.

Concept: Types of Sets
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APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 6 Sets
Exercise 6 (B) | Q 7.1 | Page 67
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