This document discusses solving and graphing inequalities on a number line. It explains that solving inequalities is similar to solving other algebraic equations by manipulating the inequality signs in the same way as equal signs. When graphing the solutions, open circles should be used for "greater than" and "less than", while closed circles indicate "less than or equal to" and "greater than or equal to". An example problem walks through solving and graphing the inequality c + 7 < -11.

1. Solving Inequalities Ch 6 lesson 1

7. Back to the first slide This should look similar to your first equation. The greater than sign replaces the equal sign.

11. Number Line -6 -4 -2 0 +2 +4 +6

12. Use of closed circles Greater than or equal to includes the number and everything higher. Less than or equal to includes the number and everything of lesser value. Use a closed circle on the number line. Use a closed circle on the number line.

13. Use of open circles Greater than does NOT include the number just every one right up to it. Less than does NOT include the number, just everything up to it. Use a closed circle on the number line. Use a closed circle on the number line. > <

22. Assignment: pg. 280 :15 – 29; 36-37; 43, 45