SOLUTION: The diagram below shows the graph of which inequality?
http://prntscr.com/b5x90z : link to picture of diagram.
a. y > x - 1
b. y ≥ x - 1
c. y < x - 1
d. y ≤ x -
Algebra ->
Absolute-value
-> SOLUTION: The diagram below shows the graph of which inequality?
http://prntscr.com/b5x90z : link to picture of diagram.
a. y > x - 1
b. y ≥ x - 1
c. y < x - 1
d. y ≤ x -
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Question 1035105: The diagram below shows the graph of which inequality?
http://prntscr.com/b5x90z : link to picture of diagram.
a. y > x - 1
b. y ≥ x - 1
c. y < x - 1
d. y ≤ x - 1
Can you please explain how you know, I know that if the line in the graph is filled in then the greater/less than sign has a line underneath, so its down to options b and d. I also know that if the statement is false, the half-plane containing the origin is not part of the solution, and you shade the other half. My problem is I don't understand when to use > or <. Answer by Fombitz(32388) (Show Source):
You can put this solution on YOUR website! The first step is to graph the line .
The line breaks the plane into two regions.
.
.
.
So then if you have an inequality, , it would be shade the region above the line and include the line. You're choosing y values above the line for each x value. Equally if it was, , it would be shade the region below the line and also include the line. You;re choosing y values below the line for each given x value.
Additionally, if it doesn't include the equal sign, it would not include the line.
So its the region below the line and since the line is solid it would include the line.
So then the answer is,
