Question

Solve for12r + 16<8r - 20Write your answer with first, followed by an inequality symbol

Answer 1

Given the expression;

$12r+16<8r-20$

We can find the range of "r," by simplifying the expression above. This can be seen below;

$\begin{gathered} 12r+16<8r-20 \\ \text{collect like terms} \\ 12r-8r<-16-20 \\ 4r<-36 \\ Divide\text{ both sides by 4} \\ \frac{4r}{4}<-\frac{36}{4} \\ r<-9 \end{gathered}$

Therefore, the solution to the expression is;

Answer: r < -9