Represent to solution set of each of the following in equations graphically in two dimensional plane :
0≤2x−5y+10
We have,
0≤2x−5y+10 ...(i)
Converting the inequation into equation,we obtain 2x-5y+10=0
Putting x=0, we get y=−10−5=2
Putting y=0, we get y=−102=−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≤10
Clearly,(0,0) satisfies the inequality. So, the region containing the origin is represented by the given in equation as shown below.