Question

Which system of inequalities is represented by the graph?

Answer 1

I believe the correct answer is the third answer.

Hope this helps! :)

Answer 2

`y<-(1)/(2)x\\ y\geq -1`

Explanation:

We observe in the graph that one line is horizontal, and its solution is the area above. Such line intercepts y-axis at
`y=-1`, and the solutions are all numbers more than -1, that means its inequality is

`y\geq -1`

The sign
`\geq` is the right one for this line, because the graph shows a solid line, which means that -1 is part of the solution.

If you observe all the options, you would see that the third choice is the only one that has
`y\geq -1` included.

Therefore, the answer is

`y<-(1)/(2)x\\ y\geq -1`