we conclude that the graphed system of inequalities is the second option
Which is the system of inequalities graphed?
First, notice that we only have the first quadrant shaded, so x and y must be positive, thus:
x ≥ 0
y ≥ 0.
Then we have two lines, such that the shaded part is to the left of the line, and the lines are solids, then we have two inequalities:
y ≤ line 1
y ≤ line 2
Now we can see two lines, such that one with a negative slope has an y-intercept of 5, while the other with a positive slope has an y-intercept of -8.
The only option with these y-intercepts is the second one:
2x - y ≤ 8
x + y ≤ 5
x ≥ 0
y ≥ 0.
So we conclude that the graphed system of inequalities is the second option
If you want to learn more about systems of inequalities:
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