To solve the inequality \( \frac{r}{5} > 7 \), we can multiply both sides of the inequality by 5 to eliminate the fraction. Note that multiplying or dividing both sides of an inequality by a positive number does not change the direction of the inequality.
Here are the steps:
- Multiply both sides by 5:
\[ r > 7 \times 5 \]
- Calculate \( 7 \times 5 \):
\[ r > 35 \]
So, the solution to the inequality \( \frac{r}{5} > 7 \) is \( r > 35 \).
Any value of \( r \) that is greater than 35 will satisfy this inequality. For example, \( r = 36, 37, 100 \), etc. are all solutions.
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