11.3 Ruling out Possibilities.notebook
December 06, 2012
11.3 Ruling out possibilities
Mar 22­3:17 PM
Algebra Review: You currently have four x’s lined up
vertically and three horizontally. Is there a way that you can take one penny and make it so there are four penny’s in each row and column?
Dec 6­7:57 AM
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11.3 Ruling out Possibilities.notebook
December 06, 2012
“Who am I?”
1. I am a state that does not lie west of the Mississippi River.
2. My name consists of more than one word.
3. I have no seashore.
4. I do not border another country.
5. Who am I?
Mar 22­3:19 PM
Law of Ruling Out Possibilities:
When statement “p” or statement “q” is true,
and “q” is not true, then “p” is true.
What does this mean?
When you analyze two different statements,
not knowing which one is true, once you
determine one of them is NOT true, you know
the other one is true.
Mar 22­3:21 PM
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11.3 Ruling out Possibilities.notebook
December 06, 2012
Using all the given statements, what (if anything)
can you conclude using the laws of logic?
a) Margaret is a freshman, a sophomore,
a junior, or senior in high school.
b) Margaret’s grade level does not begin with “s”.
c) Freshman may not take U.S. History.
d) Margaret takes U.S. History.
Mar 22­3:23 PM
Billy, Bobby, Barney, Betty, and Betsy each play a
different instrument in the school band. The
instruments they play are: clarinet, flute, saxophone,
trombone, and sousaphone. From the clues below,
determine which instrument each student plays.
a) Billy plays either the clarinet, saxophone, or sousaphone.
b) Bobby does not play the flute.
c) Betty does not play the trombone.
d) Betsy plays either the sousaphone or the saxophone.
Mar 22­3:25 PM
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11.3 Ruling out Possibilities.notebook
December 06, 2012
a) Billy plays either the clarinet, saxophone, or sousaphone.
b) Bobby does not play the flute.
c) Betty does not play the trombone, flute,clarinet, or sax.
d) Betsy plays either the sousaphone or the saxophone.
Clarinet
Flute
Saxophone
Trombone
Sousaphone
Billy
Bobby
Barney
Betty
Betsy
Mar 22­3:25 PM
Seven seniors: Joyce, Mike, Darlene, Gary, Wanda, Ken, and Brad,
were asked about their career plans. These occupations were
mentioned: lawyer, farmer, teacher, doctor, dentist, car dealer,
and chemist. No occupation was selected by more than one student.
Using the following clues, find out who mentioned which occupation!
a) Joyce doesn’t want to be a doctor, car dealer or chemist.
b) Mike doesn’t want to be a doctor or car dealer either.
c) Gary wants to be either a teacher, dentist, or farmer.
d) Ken wants to be either a dentist or farmer.
e) Brad doesn’t want to be a car dealer.
f) Darlene wants to be a dentist.
Mar 22­3:35 PM
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11.3 Ruling out Possibilities.notebook
December 06, 2012
a) Joyce doesn’t want to be a doctor, car dealer or chemist.
b) Mike doesn’t want to be a doctor or car dealer either.
c) Gary wants to be either a teacher, dentist, or farmer.
d) Ken wants to be either a dentist or farmer.
e) Brad doesn’t want to be a car dealer.
f) Darlene wants to be a dentist.
Lawyer Farmer Teacher Doctor Dentist Car Dealer Chemist
Joyce
Mike
Darlen
e
Gary
Wanda
Ken
Brad
Mar 22­3:35 PM
The following kids participate in various sports.
Match up the kid to the sport they play! Ajay,
Maxine, Kenny, Lindsey, and Susan each play a
sport: either basketball, soccer, tennis, baseball,
or swimming.
a) Maxine does not play soccer.
b) Susan plays either tennis or she swims.
c) Ajay plays either basketball or tennis, or he swims.
d) Kenny does not play a sport with a ball.
Mar 22­3:41 PM
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11.3 Ruling out Possibilities.notebook
December 06, 2012
a) Maxine does not play soccer.
b) Susan plays either tennis or she swims.
c) Ajay plays either basketball or tennis, or he swims.
d) Kenny does not play a sport with a ball.
Basketball
Soccer
Tennis
Baseball
Swimming
Ajay
Maxine
Kenny
Lindsey
Susan
Mar 22­3:41 PM
Dec 6­12:41 PM
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11.3 Ruling out Possibilities.notebook
December 06, 2012
Dec 6­12:44 PM
Dec 6­12:45 PM
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11.3 Ruling out Possibilities.notebook
December 06, 2012
Dec 6­12:47 PM
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