Question

agiosuAnalyticsRecommendationsSkill plansAMathIN StandardsAlgebra 1>K.10 Solve advanced linear inequalities 9K8You've won a new prize! Go toSolve for q.-109 + 129 + 6 < -4 - 39Write your answer with a first, followed by an inequality symbol.2Submit

Answer 1

Solve for q:

$-10q+12q+6<-4-3q$

collect like terms:

$-10q+12q+3q<-4-6$

solve for q:

$\begin{gathered} 5q<-10 \\ \text{divide through by 5} \\ \frac{5q}{5}<-\frac{10}{5} \\ q<-2 \end{gathered}$

Therefore, the value of q is:

$q<-2$