SOLUTION: graph x + 2y< 3 with a line under the sign 2x-3y < 6 with a line under the sign please help me thank you in advance

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Question 92336: graph x + 2y< 3 with a line under the sign
2x-3y < 6 with a line under the sign please help me
thank you in advance

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
graph x + 2y< 3 with a line under the sign
2x-3y < 6 with a line under the sign
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Solve each for y as follows:
y <=(-1/2)x+(3/2)
y>=(2/3)x-2
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Graph the equalities:

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Pick a test point like (0,0)Substitute it into the inequalities
1st: 0 < (-1/2)*0+(3/2) ; true
2nd: 0 > (2/3)*0 -2 ; true
----------------------
Since that test point satisfies both of the inequlities that
area below the upper line and above the lower line is part
of the solution set----darken it.
The entire solution is the area you darkened and the boundaries
of that area.
--------------
Cheers,
Stan H.

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