IM 7.6.16 Lesson: Interpreting Inequalities
For each inequality, find the value or values of x that make it true.
Choose the inequality that best matches each given situation.
The Garden Club is planting fruit trees in their school’s garden. There is one large tree that needs 5 pounds of fertilizer. The rest are newly planted trees that need pound fertilizer each.
Explain why you chose that equation.
The Chemistry Club is experimenting with different mixtures of water with a certain chemical (sodium polyacrylate) to make fake snow. To make each mixture, the students start with some amount of water, and then add of that amount of the chemical, and then 9 more grams of the chemical. The chemical is expensive, so there can’t be more than a certain number of grams of the chemical in any one mixture.
Explain why you chose that equation.
The Hiking Club is on a hike down a cliff. They begin at an elevation of 12 feet and descend at the rate of 3 feet per minute.
Explain why you chose that equation.
The Science Club is researching boiling points. They learn that at high altitudes, water boils at lower temperatures. At sea level, water boils at . With each increase of 500 feet in elevation, the boiling point of water is lowered by about .
Explain why you chose that equation.
Your teacher will assign your group one of the situations from the last task. Create a visual display about your situation. In your display:
Your teacher will assign your group one of the situations from the last task. Create a visual display about your situation with the criteria above.
{3, 4, 5, 6} is a set of four consecutive integers whose sum is 18.
How many sets of three consecutive integers are there whose sum is between 51 and 60? Can you be sure you’ve found them all? Explain or show your reasoning.
How many sets of four consecutive integers are there whose sum is between 59 and 82? Can you be sure you’ve found them all? Explain or show your reasoning.