SOLUTION: 5x-2y<15

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Question 63875: 5x-2y<15

Answer by praseenakos@yahoo.com(507)   (Show Source): You can put this solution on YOUR website!
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,




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















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