Page 173 - Math Course 2 (Book 2)

Truth Tables and Logic

Your Turn!

Truth Values of Conjunctions Truth Values of Disjunctions

Use the following statements to write a compound Use the following statements to write a compound
statement for each conjunction. Then find its truth statement for each disjunction. Then find its truth
value. value.
p: June is the sixth month of the year. p: 6 is an even number.
q: A square has five sides. q: A cow has 12 legs
r: A turtle is a bird. r: A triangle has 3 sides.
p and r p or r

A. A square has five sides and a turtle is a bird; A. 6 is an even number or a cow has 12 legs; true.
false.
B. 6 is an even number or a triangle has 3 sides;
B. June is the sixth month of the year and a turtle is true.
a bird; true.
C. A cow does not have 12 legs or 6 is an even
C. June is the sixth month of the year and a square number; true.
has five sides; false.
D. 6 is an even number or a triangle does not have 3
D. June is the sixth month of the year and a turtle is side; true.
a bird; false.

Answer Answer

Use the following statements to write a compound Use the following statements to write a compound
statement for each conjunction. Then find its truth statement for each disjunction. Then find its truth
value. value.
p: June is the sixth month of the year. p: 6 is an even number.
q: A square has five sides. q: A cow has 12 legs
r: A turtle is a bird. r: A triangle has 3 sides.

A. A square has five sides and a turtle is not a bird; A. A cow does not have 12 legs or a triangle does
true. not have 3 sides; true.

B. A square does not have five sides and a turtle is B. A cow has 12 legs or a triangle has 3 sides; true.
not a bird; true.
C. 6 is an even number or a triangle has 3 sides;
C. A square does not have five sides and a turtle is true.
a bird; false.
D. A cow does not have 12 legs and a triangle does
D. A turtle is not a bird and June is the sixth month not have 3 sides; false.
of the year; true.

Answer Answer

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