Determine the antecedent and consequent in each of the following implications. If PQR is a triangle, then the sum of interior angles of PQR is 180°.
Antecedent: PQR is a triangle , Consequent: The sum of interior angles of PQR is 180°.
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15
Determine the truth value for each of the following compound statements. 3 is a factor of 9 and 12.
True
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15
p : 28 is a multiple of 7. q : 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 antecedent and consequent in each of the following implications. If y – 5 = 7, then y = 12.
Antecedent: y – 5 = 7 , Consequent: y = 12
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15
Construct an implication “p if and only if q” based on the following implications. Implication 1: If the volume of a sphere is 288π cm3, then its radius is 6 cm. Implication 2: If radius of a sphere is 6 cm, then its volume is 288π cm3.
The volume of a sphere is 288π cm3 if and only if its radius is 6 cm.
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15
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
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 two statements, p and q, from the following compound statements. (–m)^2 > 0 or (–m)^3 > 0
p : (–m)^2 > 0 : q : (–m)^3 > 0
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15
Write two implications from the following statements. 7y = –14 if and only if y = –2.
Implication 1: If 7y = –14, then y = –2. Implication 2: If y = –2, then 7y = –14.
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15
Determine the two statements, p and q, from the following compound statements. 10 ÷ 5 = 2 and 5 ÷ 10 = 2
p : 10 ÷ 5 = 2 , q : 5 ÷ 10 = 2
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15
Construct an implication “if p, then q” based on the following antecedents and consequents. p : m is divisible by 5. , q : m is a multiple of 5.
If m is divisible by 5, then m is a multiple of 5.
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boom
Lose 50 points!
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rocket
Go to first place!
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shark
Other team loses 20 points!
Okay!
banana
Go to last place!
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15
Construct an implication “if p, then q” based on the following antecedents and consequents. p : Polygon M is a pentagon., q : 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
p : There are 30 days in a month. q : 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.
