A sign next to a roller coaster says, “You must be at least 60 inches tall to ride.” Noah is happy to know that he is tall enough to ride.

1. Noah is inches tall. Which of the following can be true? Explain how you know.

   

2. Noah’s friend is 2 inches shorter than Noah. Can you tell if Noah’s friend is tall enough to go on the ride? Explain or show your reasoning.
3. List a possible height for Noah that would mean:
   1. That his friend is tall enough to go on the ride.
   2. That his friend is not tall enough for the ride.

4. On the number line, show all the possible heights that Noah’s friend could be.

   

5. Noah's friend is inches tall. Use and any of the symbols , , to express this height.

The table shows four inequalities and four values for . Take turns with your partner to decide whether each value makes each inequality true, and complete the table with “true” or “false”.

• For each decision you make, explain to your partner how you know it’s true or false.
• For each decision that your partner makes, listen carefully to their explanation. If you disagree, discuss your thinking and work to reach an agreement.