Question

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

Answer 1

$4x-5>10-x,xϵN$

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

$\Rightarrow 5x>15$

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

$\therefore x=4,5,6,7$

$\therefore$ Solution set = {4, 5, 6, 7}