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Algebra 1K.10 Solve advanced linear inequalities 9K8Solve for r.-17 + r > -17r + 13 + 3rWrite your answer with r first, followed by an inequality symbol.>$Submit

Algebra 1K.10 Solve advanced linear inequalities 9K8Solve for r.-17 + r > -17r-example-1
User Keino
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Solution:

To solve the linear inequality given, we collect the like terms and solve for r

Given:


-17+r>-17r+13+3r

Collecting the like terms, with r on the left side of the inequality,


\begin{gathered} -17+r>-17r+13+3r \\ r+17r-3r>13+17 \\ 15r>30 \\ \text{Dividing both sides by 15;} \\ r>(30)/(15) \\ r>2 \end{gathered}

Therefore, the solution to the inequality is r > 2

User Siu Chung Chan
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