Let's express each statement provided in your practice using inequalities and then represent them graphically.
Inequalities Pair Practice
-
Caleb has at least $5.
- Inequality: \( C \geq 5 \) (where \( C \) is the amount of money Caleb has)
- Graph: Solid dot at 5 and an arrow extending to the right.
-
Tarek has more than $5.
- Inequality: \( T > 5 \) (where \( T \) is the amount of money Tarek has)
- Graph: Open dot at 5 and an arrow extending to the right.
-
Vanessa has at most $5.
- Inequality: \( V \leq 5 \) (where \( V \) is the amount of money Vanessa has)
- Graph: Solid dot at 5 and an arrow extending to the left.
-
Li Chen has less than $5.
- Inequality: \( L < 5 \) (where \( L \) is the amount of money Li Chen has)
- Graph: Open dot at 5 and an arrow extending to the left.
Summary of Inequalities and Graphs
- For Caleb: \( C \geq 5 \) (⎷)
- For Tarek: \( T > 5 \) (⎶)
- For Vanessa: \( V \leq 5 \) (⎷)
- For Li Chen: \( L < 5 \) (⎶)
Graphical Representation
For the graphical representation, you could illustrate each on a number line:
Number Line Representation:
---|---|---|---|---|---|---|---|---|---|---|---|---
0 1 2 3 4 5 6 7 8 9 10
Caleb: ●==================================== (C >= 5)
Tarek: ●--------------------------------- (T > 5)
Vanessa: ●---------------------------------- (V <= 5)
Li Chen: ●-------------------------------- (L < 5)
In this representation:
- The solid dot (●) indicates that the endpoint is included in the inequality (≥ and ≤).
- The open dot (○) indicates that the endpoint is not included ( > and <).
Let me know if you need further assistance!