SOLUTION: 3x+y<9 , the < or > signs means equal to or greater or lesser than. x-y<7, the > has a line under it. Didn't know how to make it on here. x>0, Which of the followin

Question 123204: 3x+y<9 , the < or > signs means equal to or greater or lesser than.
x-y<7, the > has a line under it. Didn't know how to make it on here.
x>0,
Which of the following points satisfy the inequalities?
(2,5), ( 0,9), (3,-2) or (-1,0)
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The best way is to plot these
(1)
(2)
(3)
----------------
Find in terms of
(1)

(2)

multiply both sides by and reverse the < sign

(3) No involved here. This is saying that
can never be or negative. It's domain is the right half of
the graph
I'll do a plot of
and

The solution is the little triangular area bounded by the axis
and the lines. Now see which points are in that area
-----------------
(2,5) looks to be just outside, and it fails (1) because

This is clearly not true
------------------
(0,9) This looks like it might be in the area, but it fails (1) also

This is clearly not true also
------------------
(3,-2) This fails in the area
------------------
(-1,0) can't be negative, as I said, and it is
also clearly outside the area
-------------------
So, only (3,-2) satisfies the inequalities answer
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