SUMMARY

The "U" means "union"

The union of two inequalities is all the values for x that are in EITHER inequality

We have an open circle and a left-pointing arrow at 80 because x is less than 80

We have a closed circle and a right-pointing arrow at 105 because x is greater than or equal to 105

The union is everything that is covered by EITHER graph

NOTES

How Do You Graph the Union of Two Inequalities?

Graph the union of x<80 and x≥105 on a number line

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Since 80 is one of the endpoints of our inequality, we put a circle there when we graph it

The circle is OPEN because we have a less than symbol

"x is less than 80" means that x is not included in the inequality

We represent this on a number line with an OPEN circle at 80

To determine this, we need to look at our inequality symbol

When we have a less than symbol, we have a left-pointing arrow

Since 105 is one of the endpoints of our inequality, we put a circle there when we graph it

The circle is CLOSED because we have a less than or equal to symbol

"x is greater than or equal to 105" means that x IS included in the inequality

We represent this on a number line with an CLOSED circle at 105

To determine this, we need to look at our inequality symbol

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When we have a greater than or equal to symbol, we have a right-pointing arrow

The union is everything included in EITHER inequality

The union is just EVERYTHING that's already on the graph!

That was easy, right?

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