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Solving Compound Inequalities

a

We're are asked to write all -values greater than Let's start with and What sign should be between and The sign for greater than is so the inequality is

b

We can start by writing the smallest value to the left and the greatest to the right and in the middle. What should be instead of question marks? should be less than or equal to so the right-hand inequality sign should be But should also be greater than that is By rearranging this inequality we get This means that is the left-hand inequality sign.