How to Tell the Domain & Range of an Inequality

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You can tell the domain and range of an inequality by paying very close attention to a few key properties. Find out how to tell the domain and range of an inequality with help from an experienced math professional in this free video clip.

Part of the Video Series: Math Skills
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Video Transcript

Hi, I'm Drew Moyer and this is how to tell the domain and range of an inequality. To find the domain and range we're going to need to look at the limitations on both the X and the Y values of our graph and the best place to start is with this hole in the graph down here at 2, negative 3. So let's focus on the domain first. What we want to do is focus on whether the graph is moving to the left or to the right of this point and I can see the line is clearly moving to the left which means that the X values continue to get smaller and they get smaller after 2 which means that the domain is X must be less than positive 2. Now let's do the same thing for the range. We want to look at from that hole in the graph, does the graph move up or down? Well clearly it's moving up. We can see by the direction of the line that the Y values are increasing from this point which means that they must be greater than they are at this hole in the graph which is at negative 3. So I know that the range must be Y is greater than negative 3. I'm Drew Moyer and this is how to tell the domain and range of an inequality.

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