<span> For example, <span>x </span>> 6 or <span>x < </span>2. The solution to this compound inequality is all the values of <span>x </span>in which <span>x </span>is either greater than 6 or x is less than 2. You can show this graphically by putting the graphs of each inequality together on the same number line.</span>
The graph has an open circle on 6 and a blue arrow to the right and another open circle at 2 and a red arrow to the left. In fact, the only parts that are not a solution to this compound inequality are the points 2 and 6 and all the points in between these values on the number line. Everything else on the graph is a solution to this compound inequality.
<span>Let’s look at another example of an or compound inequality, x > 3 or x</span> <span>≤ </span>4. <span>The graph of </span>x<span> > 3 has an open circle on 3 and a blue arrow drawn to the right to contain all the numbers greater than 3.</span>