11-1 Ruling Out Possibilities. When the solution to a problem is one of a finite number of possibilities, an effective strategy may be to eliminate possibilities.

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Presentation transcript:

11-1 Ruling Out Possibilities

When the solution to a problem is one of a finite number of possibilities, an effective strategy may be to eliminate possibilities until only one is left.

11-1 Ruling Out Possibilities Law of Ruling Out Possibilities When either statement p or statement q is true, and q is not true, the p must be true.

11-1 Ruling Out Possibilities

Abby, Ben, C.J., Ellie, and Tori each play a different instrument in the school band. The instruments they play are clarinet, drums, flute, saxophone, and trumpet. From the clues and the grid below, determine which instrument each student plays. a. Abby plays the clarinet, flute, or trumpet. b. Ben does not play the drums. c. Ellie does not play the clarinet, drums, flute, or saxophone. d. Tori plays either the flute or the trumpet.