We are asked to find and graph the solution set for all possible values of m in the given inequality.
|m|≥10
To do this, we will create a compound inequality by removing the absolute value. In this case, the solution set is any number greater than or equal to 10 or any number less than or equal to -10.
m≤-10 or m≥10
The solution to this type of compound inequality is the union of the solution sets. Let's recombine our cases back into one compound inequality.
First Solution Set:& m≤-10
Second Solution Set:& m≥10
Intersecting Solution Set:& m≤-10 or m≥10
Since m is already isolated, we can start to graph the solution set. The graph of this inequality includes all values less than or equal to -10 or greater than or equal to 10, inclusive. We show this by using closed circles on the endpoints.
