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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

agiosuAnalyticsRecommendationsSkill plansAMathIN StandardsAlgebra 1>K.10 Solve advanced linear inequalities 9K8You've won a new prize! Go toSolve for q.-109 + 1 class=

Answer :

Solve for q:

[tex]-10q+12q+6<-4-3q[/tex]

collect like terms:

[tex]-10q+12q+3q<-4-6[/tex]

solve for q:

[tex]\begin{gathered} 5q<-10 \\ \text{divide through by 5} \\ \frac{5q}{5}<-\frac{10}{5} \\ q<-2 \end{gathered}[/tex]

Therefore, the value of q is:

[tex]q<-2[/tex]

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