Determine the truth value for each of the following compound statements. 3 is a factor of 9 or 12.
True
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15
pĀ : 28 is a multiple of 7. qĀ : 21 is a multiple of 7.
(a) 28 and 14 are multiples of 7. (b) 28 or 21 is a multiple of 7.
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15
Determine the truth value for each of the following compound statements. 2 is an odd number and a prime number.
False
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15
Write two implications from the following statements. ABCDE is a pentagon if and only if ABCDE has 5 sides.
Implication 1: If ABCDE is a pentagon, then ABCDE has 5 sides. Implication 2: If ABCDE has 5 sides, then ABCDE is a pentagon.
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15
Determine the truth value for each of the following compound statements. June or July has 31 days.
True
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15
Determine the antecedent and consequent in each of the following implications. If y ā 5 = 7, then y = 12.
Antecedent: y ā 5 = 7 , Consequent: y = 12
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15
Construct an implication āif p, then qā based on the following antecedents and consequents. pĀ : Polygon M is a pentagon., qĀ : The sum of its interior angles is 540°.
If polygon M is a pentagon, then the sum of its interior angles is 540°.
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15
Determine the two statements, p and q, from the following compound statements. 10 Ć· 5 = 2 and 5 Ć· 10 = 2
p :Ā 10 Ć· 5 = 2 , qĀ : 5 Ć· 10 = 2
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15
Construct an implication āif p, then qā based on the following antecedents and consequents. pĀ : m is divisible by 5. , qĀ : m is a multiple of 5.
If m is divisible by 5, then m is a multiple of 5.
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15
Determine the truth value for each of the following compound statements. June and July has 31 days.
False
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15
pĀ : There are 30 days in a month. qĀ : There are 7 days in a week.
(a) There are 30 days in a month and 7 days in a week. (b) There are 30 days in a month or 7 days in a week.
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15
Determine the two statements, p and q, from the following compound statements. (ām)^2 > 0 or (ām)^3 > 0
pĀ : (ām)^2 > 0 : qĀ : (ām)^3 > 0
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15
Construct an implication āp if and only if qā based on the following implications. Implication 1: If the volume of a sphere is 288Ļ cm3, then its radius is 6 cm. Implication 2: If radius of a sphere is 6 cm, then its volume is 288Ļ cm3.
The volume of a sphere is 288Ļ cm3 if and only if its radius is 6 cm.