Interpreting Inequalities


Activity #1

 Translate an Inequality Statement Algebraically.

  • Read the statement in the applet below. It is in blue.​
  • Use the slider to choose the appropriate inequality sign that describes the statement.
  • Move the blue point to the right position on the number line.
  • Click “Direction” to choose the region that satisfies the inequality on the number line.
  • Click on “Point Style” to choose an opened or closed point.
  • Check your answer.
  • Click to continue.

Activity #2

 Application of Inequalities to Solve a Real World Problem.

  • Read the story below and answer the questions that follow.

When a store had sold  of the shirts that were on display, they brought out another 30 from the stockroom. The store likes to keep at least 150 shirts on display. The manager wrote the inequality  to describe the situation.

(1.) Explain what  means in the inequality.

(2.) Solve the inequality the manager wrote: .

(3.) Explain what the solution means in the context of the situation.

Activity #3

 Relate Inequalities to a Real World Situation.

  • Read the story and answer the questions that follow.

Noah scored points in a basketball game.

(1.) What does 15 <mean in the context of the basket ball game?

(2.) What does < 25 mean in the context of the basket ball game?

(3.) Draw two number lines in the applet below to represent the solutions to the two inequalities.

(4.) Name a possible value for n, that is a possible solution to both inequalities.

Challenge #1

Choose the inequality that best matches the situation below.

Challenge #2

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.

Challenge #3

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 

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