In this lesson we solve absolute value inequalities by rewriting as compound inequalities before solving.
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Video highlights:
00:00 Introduction to absolute value inequalities
00:30 |2X+2| great than 3 example rewritten with OR
01:12 Rewriting the first example into two cases using OR
01:47 Solving the two cases with OR
03:00 Graphing the solution on a number line
04:07 |-3X+2|-8 less than 3 example that requires isolating first
04:40 Rewriting the second example into an "AND" compound inequality
05:18 Solving the "AND" inequality
06:30 |-4X-8| greater than or equal 16 example rewritten with OR
06:40 Rewriting the third example using OR
06:58 Solving the compound OR inequality
07:45 Rewriting the final answer in correct form with smallest number first
08:52 Conclusion and website information