Solving+Inequalities

We solve inequalities the EXACT SAME WAY that we solve equations. We use the distributive property to get rid of parentheses, get the variables on the same side of the inequality, and use inverse operations to cancel out everything that's on the same side of the inequality as the variable.

There is only one **important fact that we must remember:** //If we multiply or divide by a negative number while using inverse operations, we have to switch the direction of the inequality sign// (greater than changes to less than and vice versa and greater than or equal to changes to less than or equal to and vice versa). You will see examples of this below.

**TASK: Watch each of the videos below to learn about solving inequalities. Please TAKE NOTES on each video so you have something to look back at later and to study from. (The videos are not long)**

http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-176s.html

http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-177s.html

In the videos, you saw how we can use inverse operations to solve basic inequalities. Then, they graphed the solution. On the Regents, you only need to graph the solution if they specifically say to in the problem. Most of the time, you won't have to graph it, but it's just another way to look at the solution.

Graphing inequalities gets a little trickier when we start multiplying and dividing and making the equations more complex.

**TASK: Watch each of the videos below to learn about solving more complex inequalities. Please TAKE NOTES so you have something to look back at and study from. (The videos are not long)**

http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-018s.html

http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-178s.html

http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-180s.html

**TASK: Compare and contrast solving equations and solving inequalities. Give at least 2 similarities and 2 differences.** **TASK: Solve each inequality below:**

1.

2.

3.