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Solve the system of inequations graphically           x y, y + x 5, x, y 0
Asked by Topperlearning User | 30 Apr, 2014, 11:19: AM Expert Answer

We draw the graphs of the linear equations x = y and x + y = 5 in the same plane.For shading the region for x y, we take a point, say (2, 0) substitute it in the inequality
x y i.e. 2 0.

Clearly the inequality is satisfied hence the region B will be shaded for x y. Thus, the region shaded in red colour will represent the inequality x y.

Similarly we can see that region coloured in green represents the inequality

x + y 5.

Also x 0, y 0 means that we are in the first quadrant.

So the doubly shaded region in the shape of a triangle is the required region. Answered by | 30 Apr, 2014, 01:19: PM

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