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Solve the Following Inequalities in the Given Universal Set: 5x - 3 < 6x - 2; X ∈ N - Mathematics

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Question

Solve the following inequalities in the given universal set:
5x - 3 < 6x - 2; x ∈ N

Sum
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Solution

We have
5x - 3 < 6x - 2; x ∈ N
⇒ 5x - 6x < -2 + -3
⇒ -x < 1
⇒ x > -1
As x ∈ N, so x be the set of all natural numbers.
The given set can be represent on number line as x = N.

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