Let's start with the first inequality:
1. For the inequality:
\[ 5 \times \frac{x}{2} > 5 \]
To solve for \( x \):
- Divide both sides by 5: \[ \frac{x}{2} > 1 \]
- Multiply both sides by 2: \[ x > 2 \]
The fraction \(\frac{x}{2}\) must be greater than 1, so the answer to fill in the blank is:
- greater than
2. For the second inequality:
\[ 5 \times \frac{x}{2} < 5 \]
To solve for \( x \):
- Divide both sides by 5: \[ \frac{x}{2} < 1 \]
- Multiply both sides by 2: \[ x < 2 \]
The fraction \(\frac{x}{2}\) must be less than 1, so the answer to fill in the blank is:
- less than
Summary of Answers:
- \( 5 \times \frac{x}{2} > 5 \): The fraction I made is greater than 1.
- \( 5 \times \frac{x}{2} < 5 \): The fraction I made is less than 1.