To simplify the inequality [tex]\(8m > 40\)[/tex], follow these steps:
1. Identify the inequality:
The initial inequality given is [tex]\(8m > 40\)[/tex].
2. Isolate the variable [tex]\(m\)[/tex]:
To isolate the variable [tex]\(m\)[/tex], you need to get rid of the coefficient [tex]\(8\)[/tex] that is multiplying [tex]\(m\)[/tex]. You can do this by dividing both sides of the inequality by [tex]\(8\)[/tex].
3. Perform the division:
[tex]\[
\frac{8m}{8} > \frac{40}{8}
\][/tex]
4. Simplify both sides:
- On the left side, [tex]\(\frac{8m}{8}\)[/tex] simplifies to [tex]\(m\)[/tex].
- On the right side, [tex]\(\frac{40}{8}\)[/tex] simplifies to [tex]\(5\)[/tex].
5. Write the simplified inequality:
After performing the division and simplification, the inequality becomes:
[tex]\[
m > 5
\][/tex]
6. Conclusion:
The simplified form of the inequality [tex]\(8m > 40\)[/tex] is:
[tex]\[
m > 5
\][/tex]
So, the final answer is [tex]\(m > 5\)[/tex].
