Write the inequality obtained in each of the following cases : On taking the reciprocal of each side of `3gt5`.

Answer

To solve the problem step by step, we need to follow the instructions given in the question regarding the inequality \(3 > 5\) and taking the reciprocal of each side.

### Step-by-step Solution:

1. **Identify the Given Inequality**:
We start with the inequality:
\[ 3 > 5 \]

2. **Take the Reciprocal of Each Side**:
To find the inequality after taking the reciprocal, we take the reciprocal of both sides. The reciprocal of a number \(x\) is \(\frac{1}{x}\). Thus, we have:
\[ \frac{1}{3} \quad \text{and} \quad \frac{1}{5} \]

3. **Write the New Inequality**:
Now we write the inequality with the reciprocals:
\[ \frac{1}{3} > \frac{1}{5} \]

4. **Verify the Inequality**:
To verify if the inequality holds true, we can convert the fractions to decimal form:
- \(\frac{1}{3} \approx 0.33\)
- \(\frac{1}{5} = 0.2\)

Since \(0.33 > 0.2\), the inequality \(\frac{1}{3} > \frac{1}{5}\) is indeed correct.

### Final Answer:
The inequality obtained after taking the reciprocal of each side of \(3 > 5\) is:
\[ \frac{1}{3} > \frac{1}{5} \]