Work out the largest integer value that $$ n $$ could take if $$ \frac{n}{5}+2

Question

Work out the largest integer value that $$ n $$ could take if $$ \frac{n}{5}+2<9 $$

UpStudy AI · Accepted Answer

1. Start with the inequality:
   $$
   \frac{n}{5} + 2 < 9
   $$

2. Subtract $$2$$ from both sides:
   $$
   \frac{n}{5} < 9 - 2 \quad\Longrightarrow\quad \frac{n}{5} < 7
   $$

3. Multiply both sides by $$5$$ to solve for $$n$$:
   $$
   n < 7 \times 5 \quad\Longrightarrow\quad n < 35
   $$

4. The largest integer less than $$35$$ is $$34$$.

Thus, the largest possible integer value for $$ n $$ is $$ 34 $$.
The largest integer value $$ n $$ can be is 34.

Work out the largest integer value that \( n \) could take if \[ \frac{n}{5}+2<9 \]