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Chapter 4 Matrix Logic - PowerPoint PPT Presentation


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Chapter 4 Matrix Logic. A matrix, or two-dimensional chart helps organize information in a useful way and facilitates eliminating possibilities, which is an important strategy for solving logic problems. This table shows what classes are offered at each period in River High School.

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Presentation Transcript
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Chapter 4

Matrix Logic

A matrix, or two-dimensional chart helps organize information in a useful way and facilitates eliminating possibilities, which is an important strategy for solving logic problems.

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Example 1.

Ted, Ken, Allyson, and Janie (two married couples) each has a favorite sport. The sports are running, swimming, biking, and golf. Determine from the following clues who likes which sport.

  • Ted hates golf: he agrees with Mark Twain that golf is a good walk spoiled.
  • Ken can’t run around the block, and neither can his wife.
  • Each woman’s favorite sport is featured in a triathlon.
  • Allyson bought her husband a new bike for his birthday for use in his favorite sport.
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Example 2. Outdoor Barbecue

Tom, John, Fred, and Bill are friends whose occupations are (in no particular order) nurse, secretary, teacher, and pilot. They attended a church picnic recently, and each one brought his favorite meat (hamburger, chicken, steak, and hot dogs). From the clues below, determine each man’s name, occupation, and favorite meat.

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Names

Occupations

Favorite meats

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Clues

  • Tom is neither the nurse nor the teacher.
  • Fred and the pilot play golf together. The burger lover and the teacher hate golf.
  • Tom brought hot dogs.
  • Bill sat next to the burger fan and across from the steak lover.
  • The secretary hates golf too.
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Example 3College Applications

Four high school friends (one is named Cathy) are about to go to college. Their last names are Williams, Burbank, Collins, and Gunderson. Each is enrolled in a different college (one is a state college). From the clues below, determine each person’s full name and the college he or she will attend.

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Clues

  • No student’s first name begins with the same first letter as his or her last name. No student’s first name ends with the same last letter of his or her last name.
  • Neither Hank nor Williams is going to the community college.
  • Alan, Collins, and the student who is going to the university all live on the same street. The other student lives two blocks away.
  • Gladys and Hank live next door to each other.
  • The private college accepted Hank’s application, but he decided he couldn’t afford to go.