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Question
Represent to solution set of each of the following in equations graphically in two dimensional plane :
y>2x-8
Represent to solution set of each of the following in equations graphically in two dimensional plane :
y>2x-8
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Solution
we have,
y>2x-8 ...(i)
Converting the inequation into equation,we obtain,y=2x-8
Putting x=0, we get y=-8
Putting y=0, we get x=82=4
So, this line meets x-axis at (4,0) and y-axis at (0,-8).
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≥−8
Clearly,(0,0) satisfies the inequality. So, the region containing the origin is represented by the given in equation as shown below:
we have,
y>2x-8 ...(i)
Converting the inequation into equation,we obtain,y=2x-8
Putting x=0, we get y=-8
Putting y=0, we get x=82=4
So, this line meets x-axis at (4,0) and y-axis at (0,-8).
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≥−8
Clearly,(0,0) satisfies the inequality. So, the region containing the origin is represented by the given in equation as shown below:
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