IM 6.7.10 Lesson: Interpreting Inequalities
Is each equation true or false?
Explain your reasoning.
Explain your reasoning.
Explain your reasoning.
Noah scored n points in a basketball game.
What does 
mean in the context of the basketball game?
What does 
mean in the context of the basketball game?
Draw two number lines to represent the solutions to the two inequalities.
Name a possible value for that is a solution to both inequalities.
Name a possible value for that is a solution to 
, but not a solution to 
.
Can be a solution to in this context? Explain your reasoning.
Here is a diagram of an unbalanced hanger.
Jada says that the weight of one circle is greater than the weight of one pentagon. Write an inequality to represent her statement. Let be the weight of one pentagon and be the weight of one circle.
A circle weighs 12 ounces. Use this information to write another inequality to represent the relationship of the weights. Then, describe what this inequality means in this context.
Here is another diagram of an unbalanced hanger.
Write an inequality to represent the relationship of the weights. Let be the weight of one pentagon and be the weight of one square.
One pentagon weighs 8 ounces. Use this information to write another inequality to represent the relationship of the weights. Then, describe what this inequality means in this context.
Graph the solutions to this inequality on a number line.
Based on your work so far, can you tell the relationship between the weight of a square and the weight of a circle? If so, write an inequality to represent that relationship. If not, explain your reasoning.
This is another diagram of an unbalanced hanger.
Andre writes the following inequality: 
. Do you agree with his inequality? Explain your reasoning.
Jada looks at another diagram of an unbalanced hangar and writes: s+c > 2t, where t represents the weight of one triangle. Draw a sketch of the diagram.
Here is a picture of a balanced hanger. It shows that the total weight of the three triangles is the same as the total weight of the four squares.
What does this tell you about the weight of one square when compared to one triangle? Explain how you know.
Write an equation or an inequality to describe the relationship between the weight of a square and that of a triangle. Let be the weight of a square and be the weight of a triangle.