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

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

all but the second one

step-by-step explanation:

cuz that one goes over 180

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