Question 295612: Find the ordered pair that is a solution to this system of inequalities y>x+1
y>-x +3
a) y>2,3
b) y> 1,2
c) y> 4,5
d) y> 5,6
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Find the ordered pair that is a solution to this system of inequalities
y>x+1
y>-x +3
----
Solve the equality.
y = x+1
y = -x+3
---
2y = 4
y = 2
------------
Then x = 1
-------------
That means the "boundary" ones of these two inequalities
meet at (1,2)
--------------------------
Now test a value > (1,2) [like (1,4)] in the inequality statements:
y>x+1
y>-x +3
----------
4 > 1+1 true
4 > -1+3 true
-------------------
Solution:
y > (1,2)
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Cheers,
Stan H.
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a) y>2,3
b) y> 1,2
c) y> 4,5
d) y> 5,6
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