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Solve any quality express your answer in interval notation you decimal forms for numerical values

Solve any quality express your answer in interval notation you decimal forms for numerical-example-1

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Solution


\begin{gathered} 5z-11<-6.6+3z \\ Subtract\text{ 3z from both side} \\ 5z-3z-11<-6.6+3z-3z \\ 2z-11<-6.6 \\ Add\text{ 11 to both sides } \\ 2z-11+11<-6.6+11 \\ 2z<4.4 \\ \end{gathered}
\begin{gathered} Divide\text{ both sides by 2} \\ (2z)/(2)<(4.4)/(2) \\ z<2.2 \\ z<2.2 \end{gathered}

In interval notation, we have


\left(-\infty \:,\:2.2\right)

The answer is


\left(-\infty \:,\:2.2\right)

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