Graph the solution sets of the following inequations:

x - y3


Given x - y3


- y≤ 3 - x


Multiplying by minus on both the sides, we’ll get


y ≥ - 3 + x


y ≥ x - 3


Consider the equation y = x - 3.


Finding points on the coordinate axes:


If x = 0, the y value is - 3 i.e, y = - 3


the point on the Y axis is A(0, - 3)


If y = 0, 0 = x - 3


x = 3


The point on the X axis is B(3,0)


Plotting the points on the graph: fig. 2a


Now consider the inequality y x - 3


Here we need the y value greater than or equal to x - 3


the required region is above point A.


Therefore the graph of the inequation x + y 4 is fig. 2b



Fig 2a



Fig 2b


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