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-9 ≥ -8(1 + 6v) - 1
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Add 1 to both sides. \(\Large \color{MidnightBlue}{\Rightarrow -8 \ge -8(1 + 6v) }\) Distribute. \(\Large \color{MidnightBlue}{\Rightarrow -8 \ge -8 - 48v }\) Add 8 to both sides. \(\Large \color{MidnightBlue}{\Rightarrow 0 \ge -48v }\) Change the sign and the inequaility \(\Large \color{MidnightBlue}{\Rightarrow 0\le48v }\) Divide both sides by 48. \(\Large \color{MidnightBlue}{\Rightarrow 0\le v }\)
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- 9 ≥ -8(1 + 6v) - 1 -9 ≥ -8 - 48v - 1 -9 ≥ -9 - 48v -9 +9≥ - 48v 0 ≥ - 48v 48v ≥ 0 v ≥ 0/48 v ≥ 0
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