Question

Find the solution set of the inequality:

$4x-5>10-x;(x\le 7)$

Answer 1

$4x–5>10–x,x\in N$

$\Rightarrow 4x+x>10+5$

$\Rightarrow 5x>15$

$\Rightarrow x>\frac{15}{5}=3$

∴$x=4,5,6,7$

Solution set is {$4,5,6,7$}