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Solve | 4x - 3 | < 7 and graph the solution

 Sep 24, 2015
 #1
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+5

| 4x - 3 | < 7    this says that

 

-7 < 4x - 3 < 7      add 3 to everything

 

-4 < 4x < 10        divide everything by 4

 

-1 < x < 10/4     

 

-1< x < 5/2

 

-1 < x < 2.5

 

Here's the graph.........https://www.desmos.com/calculator/uydosekj8h

 

Note that the absolute value function is less than 7 between  x = -1 and x = 2.5

 

 

cool cool cool

 Sep 24, 2015

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