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Question
List the elements of the following sets:
{x : 3x – 2 ≤ 10, x ∈ N}
Sum
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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
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