Select the graph that would represent the best presentation of the solution set for |x| < 5.
The graph that represents the best presentation of the solution set for |x| < 5 is a number line graph with an open circle at -5 on the left and an open circle at 5 on the right, indicating that x is less than 5 but greater than -5. The line connecting the two open circles should be dashed to indicate that the endpoints are not included in the solution set.
The graph that would represent the best presentation of the solution set for |x| < 5 is a number line with an open dot and arrow pointing to -5 on the left side and an open dot and arrow pointing to 5 on the right side. This indicates that x can take any value between -5 and 5, but it cannot include -5 and 5.
To select the graph that represents the solution set for |x| < 5, we need to understand what the inequality represents. In this case, || represents the absolute value of x. So, the inequality |x| < 5 means that the absolute value of x is less than 5, or x is between -5 and 5, but not including -5 and 5.
To represent this solution set on a graph, we can use a number line. On the number line, we mark the values -5 and 5, but do not include them as part of the solution set. Then, we shade the region between -5 and 5 to indicate that it is the solution set.
Here is how we can represent the solution set |x| < 5 on a number line:
-5 -4 -3 -2 -1 0 1 2 3 4 5
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Shade this region
The shaded region between -5 and 5 on the number line represents the solution set for |x| < 5.