Solve the system of inequalities graphically :`x+2ylt=10 ,x+ygeq1,x-ylt=0,xgeq0,ygeq0.`

Explanation

Lets first draw graph of
`x+2y=10`..........(1)

Putting `x=0` in (1)

`0+2y=10`
`2y=10`
`y=10/2`
`y=5``y=0 `in (1)
`x+2(0)=10`

`x+0=10`
`x=10`

Drawing graph

Points to be plotted are` (0,5),(10,0) `
Checking for` (0,0)`
Putting

`x=0,y=0`
`x+2y≤10`
`0<=10`

Which is true So, we shade left of line.
Now we solve `x+y>=1`
Lets first draw graph of`x+y=1`..........(2)

...