03+-+Sec.+6.3A

. =Compound Inequalities With And :] =

by: Alyssa Brubaker, Austin Bundy and Stephanie Waller
====**what we're reviewin****g: how to solve and graph compound inequalities with only the word and. Also how to solve when they are presented in word problems. go to this site and do other interactive problems.**====

Example 2
-8< 6 -x< 2 +6 +6 +6  -2/1< -x/-1< 8/-1 2>x> -8 -8<x<2 <--
 * 1) In this problem i subtracted 6 to both sides
 * 2) This then caused it to become negative so i then had to divide by a negative to get a positive answer
 * 3) Then I had to switch the inequality symbols and numbers so the final answer was from smallest to largest

Example 3



1. With this problem you need to split it in two 2. Then put -5 on the inside of both problems 3. Get X by itself by subtracting the 5 on both sides 4. Then after that you should have x on the insdide on both problems

Solve.

Practice Problem1 solve: -6 < x+-4 __<__ 4

Practice Problem 2: -8 < 6 -x <2

Practice Problem 3: -2 __<__ x __<__ 3

[|Helpful picture]