Answered

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Which compound inequality is equivalent to lax-bl > C for all real numbers a, b, and c, where c_>o?-Cc-c> ax-b>cax-b>-c or ax->Cax-b<-c or ax-b>c

Which Compound Inequality Is Equivalent To Laxbl Gt C For All Real Numbers A B And C Where CgtoCccgt Axbgtcaxbgtc Or AxgtCaxbltc Or Axbgtc class=

Sagot :

In general,

[tex]\begin{gathered} |a|>b,b\geq0 \\ then, \\ a<-b \\ or \\ a>b \end{gathered}[/tex]

Applying this rule to our inequality, we have:

[tex]\begin{gathered} |ax-b|>c \\ \text{then,} \\ ax-b<-c------\text{Inequality}1 \\ or \\ ax-b>c-------\text{Inequality}2 \end{gathered}[/tex]

From the answer choices, the last answer choice is correct!

Answer[tex]\begin{gathered} ax-b<-c \\ or \\ ax-b>c \end{gathered}[/tex]

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