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Raising an inequality to a power

Theory

Raising an inequality to a power

When rewriting inequalities it's important to make the the same operation on both sides to ensure that the inequality still holds. If one side is raised to a power, the same operation must be performed on the other side. In the inequality both sides can be raised to the power of However, this operation should only be used when the bases on both sides are positive. Otherwise, we need to divide the inequality into cases and check absolute values.