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Coolmath Algebra
Solving Inequalities Lesson 6 - Compound Inequalities (page 2 of 2)
---- This algebra lesson explains how to solve compound inequalities

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Check it:

-3 is less than or equal to 2x - 1 is less than or equal to 5
 

when x = -1, -3 is less than or equal to 2 (-1) - 1 is less than or equal to 5, which gives -3 is less than or equal to -3 is less than or equal to 5.  Yep!
 

when x = 3, -3 is less than or equal to 2 (3) - 1 is less than or equal to 5, which gives -3 is less than or equal to 5 is less than or equal to 5.  Yep!
 

when x = 0, -3 is less than or equal to 2 (0) - 1 is less than or equal to 5, which gives -3 is less than or equal to -1 is less than or equal to 5.  Yep!
 

when x = 100, -3 is less than or equal to 2 (100) - 1 is less than or equal to 5, which gives -3 is less than or equal to 199 is less than or equal to 5.  Nope!


TRY IT:

-5 < 3x + 1 is less than or equal to 10

0 is less than or equal to 5x - 2 is less than or equal to 7


 The printing and distribution and/or downloading of these lessons is strictly prohibited.

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