the graphed system of inequalities is:
y > − 2x − 4
y ≤ x + 1
Which is the first option.
Which system of inequalities is represented by the given graph?
On the image in the quesitonw e cans ee the graph of a system of inequalities. There we can see two lines.
One of the lines has a positive slope and we can see that it is a solid line, and we also can see that the region below that line is shaded, so one of the inequalities is of the form:
y ≤ line with positive slope.
The whole opposite happens for the other line, it has a negative slope, it is dashed (so this time we use the symbols > or <) and the region shaded is above the line, so this time we have an inequality of the form:
y > line with negative slope.
Then the system of inequalities is:
y ≤ line with positive slope.
y > line with negative slope.
By looking at the options, the only one with this form is:
y > − 2x − 4
y ≤ x + 1
Which is the first option
Finally, we conclude that the graphed system of inequalities is:
y > − 2x − 4
y ≤ x + 1
If you want to learn more about systems of inequalities:
https://brainly.com/question/9774970
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