Question
Solve the inquation $8 – 2x \geq x – 5; x \in N.$

Answer

$8-2 x \geq x-5 ; x \in N$
$ \Rightarrow 8+5 \geq 2 x+x$
$ \Rightarrow 13 \geq 3 x $
$\Rightarrow 3 x \leq 13$
$ \Rightarrow x \leq \frac{13}{3}=4 \frac{1}{3}$
$ x=1,2,3,4(x \in N)$
Solution set $=\{1,2,3,4\}$

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