Linear Inequalities Worksheets Page 24
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50Algebra Lab
Algebra Lab
Reading Compound
Reading Compound
Statements
Statements
A compound statement is made up of two simple statements connected by the word
and or or. Before you can determine whether a compound statement is true or false,
Tennessee
you must understand what the words and and or mean.
Curriculum Standards
CLE 3102.1.6 Employ reading
and writing to recognize the
A spider has eight legs, and a dog has five legs.
major themes of mathematical
processes, the historical
For a compound statement connected by the word and to be true, both simple
development of mathematics,
statements must be true.
and the connections between
mathematics and the real world.
A spider has eight legs.
true
A dog has five legs.
false
Since one of the statements is false, the compound statement is false.
A compound statement connected by the word or may be exclusive or inclusive. For
example, the statement “With your lunch, you may have milk or juice,” is exclusive.
In everyday language, or means one or the other, but not both. However, in
mathematics, or is inclusive. It means one or the other or both.
A spider has eight legs, or a dog has five legs.
For a compound statement connected by the word or to be true, at least one of
the simple statements must be true. Since it is true that a spider has eight legs,
the compound statement is true.
Exercises
Is each compound statement true or false? Explain.
1. Most top 20 movies in 2004 were rated PG-13, or most
top 20 movies in 2002 were rated G.
15
G
PG-13
2. In 2005 more top 20 movies were rated PG than were
PG
R
rated G, and more were rated PG than rated PG-13.
10
3. For the years shown most top 20 movies are rated
PG-13, and no top 20 movies in 2002 were rated R.
4. No top 20 movies in 2005 were rated G, or most
5
top 20 movies in 2005 were not rated PG.
5. 11 < 5 or 9 < 7
6. -2 > 0 and 3 < 7
0
2002
2003
2004
2005
7. 5 > 0 and -3 < 0
8. -2 > -3 or 0 = 0
Year
9. 8 ≠ 8 or -2 > -5
10. 5 > 10 and 4 > -2
Source: National Association of Theater Owners
303
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