Write the inequality obtained in each of the following cases : On dividing each side of `14lt21` by -7,

Answer

To solve the problem, we need to write the inequality obtained by dividing each side of the inequality \( 14 < 21 \) by \(-7\).

### Step-by-Step Solution:

1. **Start with the given inequality:**
\[ 14 < 21 \]

2. **Divide both sides of the inequality by \(-7\):**
\[ \frac{14}{-7} \quad \text{and} \quad \frac{21}{-7} \]

3. **Calculate the left side:**
\[ \frac{14}{-7} = -2 \]

4. **Calculate the right side:**
\[ \frac{21}{-7} = -3 \]

5. **Change the inequality sign:**
Since we are dividing by a negative number, the inequality sign will reverse. Thus, we have:
\[ -2 > -3 \]

### Final Inequality:
The inequality obtained after dividing both sides of \( 14 < 21 \) by \(-7\) is:
\[ -2 > -3 \]