Question 63875
QUESTION:


5x-2y<15


ANSWER:

First of all rewrite the given inequality in terms of x.


subtract 5x from both sides of the equation,


5x-2y- 5x <15 -5x


==> -2y < 15 - 5x


Divide both sides by -2


==> -2y/ -2 < (15 - 5x)/-2


===> y > -15/2 + (5/2)x


Now for our convenience, we can take this inequality as an equation as follows,



 y = -15/2 + (5/2)x




Now give arbitrary values to x and find  corresponding values of y.



Here if you give 2,4,6,8,....................., the calculation becomes easier because  we have 2 in the denominator.

You can also give values 0,1,-1,2,-2,3,...........................




Using these values, plot the graph.


Then the graph comes like this,


{{{ graph( 700, 700, -15, 15, -15, 15,-15/2 + (5/2)x) }}} 



Since here we have the inequality,  5x-2y<15, area below the straight line 
represent  resultant graph.



Hope you understood.


Regards,

praseenakos@yahoo.co.in