Sure! Let's represent each of the statements you provided with inequalities and determine their corresponding graphs.
1. Caleb has at least $5.
- Inequality: \( C \geq 5 \) (where \( C \) represents the amount Caleb has)
- Graph: The graph will show a solid dot at 5 and a line extending to the right (indicating that Caleb can have 5 or more).
2. Tarek has more than $5.
- Inequality: \( T > 5 \) (where \( T \) represents the amount Tarek has)
- Graph: The graph will show an open dot at 5 and a line extending to the right (indicating that Tarek has more than 5).
3. Vanessa has at most $5.
- Inequality: \( V \leq 5 \) (where \( V \) represents the amount Vanessa has)
- Graph: The graph will show a solid dot at 5 and a line extending to the left (indicating that Vanessa can have 5 or less).
4. Li Chen has less than $5.
- Inequality: \( L < 5 \) (where \( L \) represents the amount Li Chen has)
- Graph: The graph will show an open dot at 5 and a line extending to the left (indicating that Li Chen has less than 5).
Summary of the Inequalities
- Caleb: \( C \geq 5 \) (solid dot at 5, rightward arrow)
- Tarek: \( T > 5 \) (open dot at 5, rightward arrow)
- Vanessa: \( V \leq 5 \) (solid dot at 5, leftward arrow)
- Li Chen: \( L < 5 \) (open dot at 5, leftward arrow)
Note on Graphs
If you needed visual representations, you can typically represent these inequalities on a number line where:
- Solid dots indicate included values (≥, ≤)
- Open dots indicate excluded values (> , <)
- Arrows indicate the direction of the values that satisfy the inequality.