Question

Which of the following inequalities matches the graph? again...

Answer 1

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➷ It would be option C

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Answer 2

d.
`y\geq -1`

Explanation:

We have been given a graph of an inequality. We are asked to find the inequality that matches our given graph.

Upon looking at our given graph, we can see that boundary line of our given inequality is solid and it is a horizontal line that crosses y-axis at point
`(0,-1)`.

We know that equation of a horizontal line is in form
`y=a`, which crosses y-axis at point
`(0,a)`.

The equation of boundary line would be
`y=-1`.

The points on the side of boundary line would be
`y\geq -1` and on the other side would be
`y\leq -1`.

Now, we will check point
`(0,0)` to find the inequality that represents shaded region.

`0\leq -1`

`0\geq -1`

Since point
`(0,0)` is shaded in our given graph, therefore, the inequality
`y\geq -1` matches our given graph and option 'd' is the correct choice.