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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.
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.
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.
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°.
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
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.
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°.
Determine the truth value for each of the following compound statements. 2 is an odd number and a prime number.
False
Determine the truth value for each of the following compound statements. 3 is a factor of 9 or 12.
True
Determine the truth value for each of the following compound statements. June and July has 31 days.
False
Determine the truth value for each of the following compound statements. June or July has 31 days.
True
Determine the truth value for each of the following compound statements. 3 is a factor of 9 and 12.
True
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
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
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.
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.
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