Question

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

Answer 1

Answer:

D

Step-by-step explanation:

Keywords

compound inequality, absolute value, equivalent

we have

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

Answer 2

Answer:

D. ax-b<-c or ax-b>c is the correct answer.

Step-by-step explanation: