Solve for v
v>-2
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9-\frac{7}{2}v<16
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
-\frac{7}{2}v<16-9
Subtract 9 from both sides.
-\frac{7}{2}v<7
Subtract 9 from 16 to get 7.
v>7\left(-\frac{2}{7}\right)
Multiply both sides by -\frac{2}{7}, the reciprocal of -\frac{7}{2}. Since -\frac{7}{2} is negative, the inequality direction is changed.
v>-2
Cancel out 7 and 7.
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Limits
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