Given the expression;
[tex]12r+16<8r-20[/tex]
We can find the range of "r," by simplifying the expression above. This can be seen below;
[tex]\begin{gathered} 12r+16<8r-20 \\ \text{collect like terms} \\ 12r-8r<-16-20 \\ 4r<-36 \\ Divide\text{ both sides by 4} \\ \frac{4r}{4}<-\frac{36}{4} \\ r<-9 \end{gathered}[/tex]
Therefore, the solution to the expression is;
Answer: r < -9
