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Solve the inequality -5/7 - 6/7z < -2/7
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Solve the inequality

-5/7 - 6/7z < -2/7

User Bronwyn V
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-\cfrac{5}{7}-\cfrac{6}{7}z~~ < ~~-\cfrac{2}{7}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{7}}{-5-6z~~ < ~~-2} \\\\\\ \stackrel{\textit{dividing by a negative value}}{-6z~<~3\implies z ~\stackrel{\stackrel{notice}{\downarrow }}{>}~\cfrac{3}{-6}}\implies \boxed{z~>-\cfrac{1}{2}}

User Ramakrishna Joshi
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