Answer :

To solve the inequality [tex]\(\frac{5}{8} m > -40\)[/tex] for [tex]\(m\)[/tex], follow these steps:

1. Understand the Inequality:
- We want to isolate [tex]\(m\)[/tex] on one side of the inequality to find out for what values of [tex]\(m\)[/tex] the inequality holds true.

2. Multiply Both Sides by the Reciprocal:
- The coefficient of [tex]\(m\)[/tex] is [tex]\(\frac{5}{8}\)[/tex]. To isolate [tex]\(m\)[/tex], multiply both sides of the inequality by the reciprocal, which is [tex]\(\frac{8}{5}\)[/tex].

3. Perform the Multiplication:

[tex]\[
m > -40 \times \frac{8}{5}
\][/tex]

4. Calculate the Right Side:
- Multiply [tex]\(-40\)[/tex] by [tex]\(\frac{8}{5}\)[/tex] to find the value:

[tex]\[
-40 \times \frac{8}{5} = -64
\][/tex]

5. Conclusion:
- The inequality simplifies to [tex]\(m > -64\)[/tex].

Therefore, the solution is [tex]\(m > -64\)[/tex]. This means that [tex]\(m\)[/tex] should be greater than [tex]\(-64\)[/tex] for the original inequality to hold true.

Thanks for taking the time to read Solve for tex m tex tex frac 5 8 m 40 tex A tex m 64 tex B tex m 64 tex C tex m. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada