Question

Represent to solution set of each of the following in equations graphically in two dimensional plane :

$0\le 2x-5y+10$

Answer 1

We have,

$0\le 2x-5y+10$ ...(i)

Converting the inequation into equation,we obtain 2x-5y+10=0

Putting x=0, we get y=$\frac{-10}{-5}=2$
Putting y=0, we get y=$\frac{-10}{2}=-5$

So, this line meets x-axis at (-5,0) and y-axis at (0,2).

we plot these points and join them by a thick line. This line divides the xy-plan in two parts. To determine the region represented by the given inequality consider the point 0(0,0).

Putting x=0,and y=0 in the in equation (i),we get,$0\le 10$

Clearly,(0,0) satisfies the inequality. So, the region containing the origin is represented by the given in equation as shown below.