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Question

4. y82 2x

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Solution

The inequality is given as y+82x.

First draw the graph of,

y+8=2x(1)

Put x=0 in equation (1),

y=8

Similarly, put y=0 in equation (1),

x=4

Substitute 0 for x and 0 for y in the given inequality.

0+80 80

The above inequality is true because 8 is always greater than 0, therefore, the graph will shade towards the origin.

Draw the graph from the obtained coordinates, ( 0,8 ) and ( 4,0 ).

The graph of inequality in the two dimensional plane is drawn as,



Figure (1)

Figure (1) shows the shaded region which is the solution of the inequality.

The points on the line are the solution of the inequality because y+82x.

Thus, the shaded region shows the solution of inequality y+82x.


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