Question

Solve the following systems of inequalities graphically: $x+y\le 9,y>x,x\ge 1$

Answer 1

Given:$x+y\le 9$ y>x$,x\ge 1$

Solution:Let us first convert into equalities

i)$x+y$=9

if $y=0$ if $x=0$

then$x-9$ then$y=9$

(9,0) (0,9)

ii)$y=x$

iii)$x=1$

The shaded portion is the solution for the given three inequalities.