Chapter 3.4, Problem 6C

Do these tools work for solving inequalities too? Let’s see. (Remember, by “work,” we mean that we can do these procedures to an inequality without changing whether it’s true or false.) We’ll use less than to explore new rules, but the rules will also apply to greater than , less than or equal to , and greater than or equal to . In Questions 1–4, fill in the comparison symbol that makes the inequality true after performing the operation.

Fill in either “does” or “does not” to complete our first tool for solving inequalities. Then follow the remaining instructions in the box.

Write a verbal description of what the solution sets to the two inequalities in the colored box really tell us. The first has been done as an example.