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solve the inequality

4/5v < 7/15

1 answer

To solve the inequality \( \frac{4}{5}v < \frac{7}{15} \), we will isolate \( v \) by following these steps:

  1. Multiply both sides by the reciprocal of \(\frac{4}{5}\), which is \(\frac{5}{4}\). This will help eliminate the fraction from \( v \).

    \[ v < \frac{7}{15} \cdot \frac{5}{4} \]

  2. Calculate the right side:

    \[ v < \frac{7 \cdot 5}{15 \cdot 4} \] \[ = \frac{35}{60} \]

  3. Simplify \(\frac{35}{60}\):

    \[ \frac{35}{60} = \frac{7}{12} \]

Thus, the solution to the inequality is:

\[ v < \frac{7}{12} \]