Answer:
The graph is plotted below.
One ordered pair as solution is (0, 0).
Step-by-step explanation:
Given:
The inequality is given as:
[tex]y\geq x-5[/tex]
In order to plot it, we first replace '≥' by '=' sign. This gives,
[tex]y = x-5[/tex]
Now, we plot the above line. For that, we need the x and y intercepts.
At x-intercept, y = 0. So,
[tex]0=x-5\\x=5[/tex]
The point is (5, 0)
At y-intercept, x = 0. So,
[tex]y=0-5\\y=-5[/tex]
The point is (0, -5)
Now, plot these two points and draw a line passing through these two points. The graph is shown below.
Now, replace '=' by '≥' sign. Since, 'y' is greater than equal to 'x - 5'. So, the solution region is above the given including the values on the line.
Therefore, any ordered pair in the solution region is a solution of the given inequality. From the graph, one such ordered pair is (0, 0).
This can be verified from the inequality also.
[tex]0\geq 0-5\\0\geq -5(True)[/tex]
So, one ordered pair is (0, 0).
