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Since the word between the inequalities is or,
we are looking for the union of the solution sets to the individual inequalities.
Solution Set: x≤-1 or x>3
Graph:
To solve the compound inequality, we have to solve each of the inequalities separately. Since the word between the individual inequalities is or,
the solution set for the compound inequality is the union of the individual solutions.
Note that the point on -1 is closed because it is included in the solution set.
Note that the point on 3 is open because it is not included in the solution set.
The solution to the compound inequality is the union of the solution sets. First Solution Set:& x≤ -1 Second Solution Set:& x>3 Combined Solution Set:& x≤-1orx>3 Finally, we will graph the solution set to the compound inequality.