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Determine
the truth value of the following compound statements.
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1. |
"5 is an even number
and
5 is a
prime number."
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Choose:
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2. |
"A
square is a rectangle
or a triangle has
three sides."
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Choose:
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3. |
"If
2 + 2 = 4
and 1 + 1 = 2,
then 2 + 1 = 6."
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Choose:
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4. |
"It
is
not
true that:
15 + 3 = 18 and 9 - 12 = 3."
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Choose:
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5. |
If
4 is even and 5 is odd, then 11 is prime.
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Choose:
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6. |
Let
p represent
"2x + 2 = 12" and
q
represent
"2x + 3x =30."
What is the truth
value of
p
and q
when x
= 5?
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Choose:
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7. |
Let
p represent
"the polygon has 4 sides" and
q
represent
"all of
the angles of the polygon are equal."
What is the truth value of
p
or q
when the polygon is a right triangle?
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Choose:
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8. |
"If (3)(4) = 11
and (4)(3) = 11,
then
(3)(4) = (4)(3)."
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Choose:
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9. |
When
fact
1 is true and
fact
2 is false, the
truth value of the negation of (fact
1
or
fact
2)
will be ______.
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Choose:
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10. |
Let
p represent "5 is a factor of
35."
Let q represent "35 is the square of
an integer."
Let r represent "35 is divisible by
7."
The truth value of the sentence
"If
r, then (p or q)."
will be _____.
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Choose:
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11. |
The
negation
of
"If a triangle is isosceles, then its base angles are
congruent." is
"If a triangle is not isosceles, then its base angles are
not congruent."
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Choose:
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12. |
The
negation
of
"All squares are rectangles."
is
"Some squares are not rectangles."
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Choose:
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13. |
You type the following into your graphing calculator:
Knowing that the calculator will return a 1 if this
compound statement is true and a 0 if it is false, what
will you see when you hit ENTER?
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Choose:
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14. |
The
negation
of
"Some smiley faces are yellow."
is
"All smiley faces are yellow."
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Choose:
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15. |
You type the following into your graphing calculator:
Knowing that the calculator will return a 1 if this
compound statement is true and a 0 if it is false, what
will you see when you hit ENTER?
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Choose:
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