Question

How do I write inequality notation from this graph?

Answer 1

Domain:

The domain is the set of x-values used by the graph.  Because the graph is connected, you can ask yourself the following:

"From how far left to how far right (with respect to the x-axis) does this graph go?"

In terms of x-values, the graph goes to -5 on the left and 2 on the right.  It gets to -5, but has open circles are 2.

-5≤x<2 would be the domain.

Range:

The range is the set of y-values used by the graph.  Because the graph is connected, you can ask yourself the following:

"From how far down to how far up (with respect to the y-axis) does this graph go?"

In terms of y-values, the graph goes to about -3 (or -3.2?) on the bottom and as high as 5.  Both of those values occur at open circles, so it never actually gets that low or that high.

-3<y<5 would be the range.

Both of those answers are assuming your scale is 1 on each axis.