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nWhich graph shows the solution set of the compound inequality 1.5x-1 > 6.5 or 7X+3 <-25?-1010O-1050510-10-5510+-105010Mark this and returnSave and ExitNextSubmit

User Realshadow
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1 Answer

4 votes

Solving the first inequality >>>


\begin{gathered} 1.5x-1>6.5 \\ 1.5x>6.5+1 \\ 1.5x>7.5 \\ x>5 \end{gathered}

Solving the second inequality >>>>


\begin{gathered} 7x+3<-25 \\ 7x<-25-3 \\ 7x<-28 \\ x<-(28)/(7) \\ x<-4 \end{gathered}

So, the solution set will be all numbers less than -4 and all numbers greater than 5.

We will have open circle at -4 and 5 and arrows to both sides.

From answer choices, second option is the right graph.

User KoKa
by
8.3k points
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