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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