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Using Graph to Find Range of a Function

3x-2≤ 10 and ...

Question

{ $3 x - 2 \leq 10$ and x belongs to natural numbers}
Find the range of x.

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Solution

$3 x - 2 \leq 10$
$3 x \leq 10 + 2$
$3 x \leq 12$
$∴ x \leq 4$
$∴ x \in (- \infty, 4]$ .

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