SOLUTION: FILL IN THE BLANKS
What polygon is obtained by graphing the given system of inequalities? What is the area of the polygon bounded by the inequalities?
y ≥ 1
x ≥
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What polygon is obtained by graphing the given system of inequalities? What is the area of the polygon bounded by the inequalities?
y ≥ 1
x ≥
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Question 1018947: FILL IN THE BLANKS
What polygon is obtained by graphing the given system of inequalities? What is the area of the polygon bounded by the inequalities?
y ≥ 1
x ≥ 1
y ≤ 4
x ≤ 6
The polygon obtained by graphing the system of inequalities is a BLANK .
The area of the polygon bounded by the inequalities is BLANK square units.
First Blank answers:
A:Triangle
B:Trapezoid
C:Square
D:Rectangle
Second Blank Answers:
A:15
B:16
C:24
D:25
Thanks alot guys!
You can put this solution on YOUR website! Well, we have 4 inequalities here, so we are going to draw 4 lines on the graph.
When I graph inequalities like this, I like to ignore the greater than or less than part to start with, then fill in the side that makes sense afterwards. So if we do that we have...
y = 1
x = 1
y = 4
x = 6
Now we make lines for each where that equation is true. So for the case of y=1, we make a horizontal line where y is always 1. For the x = 'Something', those are vertical lines where the x is always that one value.
We get a graph that looks something like this. I wasn't able to graph the vertical lines completely straight up, but you get the picture.
When we fill in the correct side of each line (like above the y >= 1 line), we get this middle rectangular. From the graph you should be able to measure the width and height of the box and multiply them to get the area.
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