Question
Solve: $4x - 5 > 10 - x, x \in \{0, 1, 2, 3, 4, 5, 6, 7\}.$

Answer

$4 x-5>10-x, x \in N .$
$ \Rightarrow 4 x+x>10+5$
$ \Rightarrow 5 x>15$
$ \Rightarrow x>\frac{15}{5}=3$
$ \therefore x=4,5,6,7$
Solution set $=\{4,5,6,7\}$

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