SOLUTION: Could someone pleas show me step by step how to graph the system of inequalities? x+y<6 (All are greater than or equal to and all less than are are

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Question 439197: Could someone pleas show me step by step how to graph the system of inequalities?
x+y<6 (All are greater than or equal to and all less than are are
less than or equal to)
2x+y<6
x>0
y>0
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Could someone pleas show me step by step how to graph the system of inequalities?
x+y<6 (All are greater than or equal to and all less than are are
less than or equal to)
2x+y<6
x>0
y>0
---------------
Note: You don't directly graph inequalities. You first of all
graph the boundary of the inequality, which is always an equality.
----
To graph x+y < 6
Graph y = -x+6 as a dashed line.
Shade the half-plane below the line.
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cy%3C+-x%2B6%29
---
To graph 2x+y< 6
Graph y = -2x+6 as a dashed line
Shade the half-plane below the line
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cy+%3C-2x%2B6%29
----
The solution set is the intersection
of those two half-planes in the 1st Quadrant.
---
You only look in the 1st Quadrant because you
have x> 0 and y> 0
----
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cy%3C+-x%2B6%2Cy+%3C-2x%2B6%29
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cheers,
Stan H.
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