SOLUTION: when we graph the inequality 4x-3y greater than or equal to 0 why can't we use (0,0) as a test point? if we test the point (6,-5), do we obtain a false statement or a true one?

Question 371700: when we graph the inequality 4x-3y greater than or equal to 0 why can't we use (0,0) as a test point? if we test the point (6,-5), do we obtain a false statement or a true one?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
when we graph the inequality 4x-3y greater than or equal to 0 why can't we use (0,0) as a test point? if we test the point (6,-5), do we obtain a false statement or a true one?
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That inequality simplifies to:
4x-3y >=0
y <= (4/3)x
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The boundary of the inequality is y = (4/3)x
----
(0,0) is on the boundary line. It satisfies the
equality but cannot be used to test the inequality
because it is on the boundary line. You have
to use a test point that is not on the boundary.
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Using (6,-5) you get -5 < (4/3)(6)
-5 < 8
That is true so the half-plane containing (6,-5)
is the solution set for the inequality.
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Cheers,
Stan H.
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