IM 6.7.9 Lesson: Solutions of Inequalities

_______ > _______

_______ < _______

Jada says that she found three different ways to complete the first question correctly. Do you think this is possible? Explain your reasoning.

List a possible value for each letter on the number line based on its location.

Write an inequality for each of the the three height requirements. Use  for the unknown height. 

Han’s cousin is 55 inches tall. Han doesn’t think she is tall enough to ride the High Bounce, but Kiran believes that she is tall enough. Do you agree with Han or Kiran? Why?

Priya can ride the Climb-A-Thon, but she cannot ride the High Bounce or the Twirl-O-Coaster. Which, if any, of the following could be Priya’s height?

Priya can ride the Climb-A-Thon, but she cannot ride the High Bounce or the Twirl-O-Coaster. What could be Priya’s height? Why?

Jada is 56 inches tall. Which rides can she go on?

Kiran is 60 inches tall. Which rides can he go on?

The inequalities  and  represent the height restrictions, in inches, of another ride. Write three values that are solutions to both of these inequalities.

Which part of the number line is shaded with all 3 colors?

Name one possible height a person could be in order to go on all three rides.

Below are two applets of cards—one set shows inequalities and the other shows numbers. The inequality cards face up where everyone can see them. The number cards are shuffled face down. To play:

• One person in your group is the detective. The other people will give clues.
• Pick one number card from the stack and show it to everyone except the detective.
• The people giving clues each choose an inequality that will help the detective identify the unknown number.
• The detective studies the inequalities and makes three guesses.
• If the detective does not guess the right number, each person chooses another inequality to help.
• When the detective does guess the right number, a new person becomes the detective.