Error: Graphed incorrectly. Correct Solution: See solution. Graph:
Practice makes perfect
To find the error, we will analyze the work step by step. We can see that the compound inequality was solved correctly. Therefore, the error must be in the graph. We will analyze the solutions and the graph.
First Solution
The solution x>5 means that x can only take values that are greater than 5. The graph for this should show an open circle at 5 and shading to the right, since values on a number line increase as you move to the right.
The given graph does not show this.
Second Solution
The solution x<- 10 means that x can only take values that are less than - 10. The graph for this should show an open circle at - 10 and shading to the left, since values on a number line decrease as you move to the left.
The given graph does not show this.
Correct Graph
The error is that the solutions were not graphed correctly. Let's graph the correct solution set!
