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List the Elements of the Following Sets : {X : 3x – 2 ≤ 10, X ∈ N} - Mathematics

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Sum

List the elements of the following sets:

{x : 3x – 2 ≤ 10, x ∈ N}

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Solution

{x : 3x – 2 ≤ 10, x ∈ N}

3x - 2 ≤ 10

⇒ 3x ≤ 10 + 2

⇒ 3x ≤ 12

⇒ x ≤ `12/3`

⇒ x ≤ 4

∴ Elements of the given set {x : 3x – 2 ≤ 10, x ∈ N} are 1, 2, 3 and 4

Concept: Representation of a Set
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APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 6 Sets
Exercise 6 (A) | Q 5.5 | Page 65
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