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  • https://math.libretexts.org/Courses/Borough_of_Manhattan_Community_College/MAT_206.5/02%3A_Solving_Linear_Equations/2.07%3A_Solve_Compound_Inequalities
    To find the solution of the compound inequality, we look at the graphs of each inequality and then find the numbers that belong to both graphs—where the graphs overlap. We then look for where the grap...To find the solution of the compound inequality, we look at the graphs of each inequality and then find the numbers that belong to both graphs—where the graphs overlap. We then look for where the graphs “overlap”. The numbers that are shaded on both graphs, will be shaded on the graph of the solution of the compound inequality. Just as the United States is the union of all of the 50 states, the solution will be the union of all the numbers that make either inequality true.

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