Question
Graph this compound inequality. xlt 8.3 or xgt 9.8 Drag a point to the number line.
Solution
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WallaceMaster · Tutor for 5 years
Answer
### The solution to the compound inequality $x < 8.3$ or $x > 9.8$ is represented on a number line by shading the region to the left of 8.3 and the region to the right of 9.8, with open circles at 8.3 and 9.8.
Explain
## Step 1: Understand the Compound Inequality<br />### The compound inequality given is $x < 8.3$ or $x > 9.8$. This means that we are looking for values of $x$ that satisfy either one of these conditions.<br /><br />## Step 2: Determine the Regions on the Number Line<br />### For $x < 8.3$, the region includes all numbers less than 8.3. For $x > 9.8$, the region includes all numbers greater than 9.8. These two regions do not overlap and are separate on the number line.<br /><br />## Step 3: Graph the Inequalities<br />### On a number line, represent the solution by shading the region to the left of 8.3 (not including 8.3) and the region to the right of 9.8 (not including 9.8). Use open circles at 8.3 and 9.8 to indicate that these points are not included in the solution set.
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