List the elements of the solution set of the inequation $- 3 < x - 2 \leq 9 - 2 x$ ; $x \in N$ .

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Solution

$x \in N$
$- 3 < x - 2 ⟹ x > - 1$ and $x - 2 \leq 9 - 2 x ⟹ 3 x \leq \frac{7}{2} ⟹ x \leq \frac{7}{6}$
$x = 0, 1$

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List the elements of the solution set of the inequation −3<x−2≤9−2x; x∈N.

x∈N−3<x−2⟹x>−1 and x−2≤9−2x⟹3x≤72⟹x≤76x=0,1

List the elements of the solution set of the inequation $- 3 < x - 2 \leq 9 - 2 x$ ; $x \in N$ .

$x \in N$
$- 3 < x - 2 ⟹ x > - 1$ and $x - 2 \leq 9 - 2 x ⟹ 3 x \leq \frac{7}{2} ⟹ x \leq \frac{7}{6}$
$x = 0, 1$