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Which compound inequality is equivalent to |ax-b|>c for all real numbers a, b, and c, where c>0  

Math May 23, 2021

Which compound inequality is equivalent to |ax-b|>c for all real numbers a, b, and c, where c>0

 

Expert Solution

Answer:

D

Step-by-step explanation:

Keywords

compound inequality, absolute value, equivalent

we know that

To find the compound inequality  calculate the two solutions of the absolute value

First solution (case positive)

-------> inequality A

Second solution (case negative)

-------> inequality B

Multiply by  all expression

therefore

is equivalent to

and  

The answer is

The equivalent compound inequality is

 

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