Implication & Argument

IMPLICATION

100

~Identify antecedent and consequent~ If 8>3, then 8-5>3-5

antecedent:8>3 consequent:8-5>3-5

200

~Identify antecedent and consequent~ If a^3=1, then a=1.

antecedent= a^3=1 consequent= a=1

300

p= ABC is a right-angle triangle. q= Angle of ABC=90 degree. Construct: a)If p, then q.

a)If ABC is a right-angle triangle, then angle of ABC=90 degree.

400

p= ABC is a right-angle triangle. q= Angle of ABC=90 degree. Construct: b) p if and only if q.

b)ABC is a right-angle triangle if and only if Angle of ABC=90 degree.

500

~Write converse & state its truth value.~ If 5

Converse: If x lies between 5 and 11, then 5

IMPLICATION 2

100

~Identify antecedent and consequent~ If x-8=4, then x=12

antecedent= x-8=4 consequent=x=12

200

BONUS

Only for the challenge accepted group.

300

~Write 2 implications~ 679 is a multiple of 7 if and only if 679 is divisible by 7.

Implication 1: If 679 is a multiple of 7, then 679 is divisible by 7. Implication 2: If 679 is divisible by 7, then 679 is a multiple of 7.

400

p= a=0. q= axb=0 Construct: b) p if and only if q.

a=0 if and only if axb=0

500

~Write converse & state its truth value.~ If a circle has a diameter of 10cm, then the area of the circle is 25 pi cm^2.

Converse: If the area of the circle is 25 pi cm^2, then a circle has a diameter of 10cm.(True)

ARGUMENT

100

You are so kind.

BONUS^^ Reward to all groups.

200

~State Argument Form 1 ~ Premise 1: All A is B.

Premise 1: All A is B. Premise 2: C is A. Premise 3: C is B.

300

~State conclusion~ 1: All obtuse-angled triangles have an obtuse angle. 2: KLM is an obtuse-angled triangle.

1: All obtuse-angled triangles have an obtuse angle. 2: KLM is an obtuse-angled triangle. Conclusion: KLM has an obtuse angle.

400

~Make a conclusion~ All right angles are equal to 90 degrees. Angle HNK is a right angle.

Angle HNK is equal to 90 degrees.

500

State the conclusion: Premise 1: All prime numbers have only two factors. Premise 2: 11 is a prime number.

Premise 1: All prime numbers have only two factors. Premise 2: 11 is a prime number. Conclusion: 11 has only two factor.

ARGUMENT 2

100

~State Argument Form 2 ~ Premise 2: p is true.

Premise 1: If p, then q. Premise 2: p is true. Premise 3: q is true.

200

Stare premise 2: 1: If the radius of a sphere is 6cm, then the volume of the sphere is 288pi cm^3. Conclusion: The radius of the sphere is not 6cm.

1: If the radius of a sphere is 6cm, then the volume of the sphere is 288pi cm^3. 2: The volume of the sphere is not 288 pi cm^3. Conclusion: The radius of the sphere is not 6cm.

300

~Make a conclusion~ All empty set do not have any element. S is an empty set.

All empty set do not have any element. S is an empty set. S does not have any element.

400

~State premise 1~ 1:... 2: The price of a pen is RM8. conclusion: The price of three pens is RM24.

1: If the price of a pen is RM8, then the price of three pens is RM24. 2: The price of a pen is RM8. conclusion: The price of three pens is RM24.

500

~State premise 2~ 1:All factors of 8 are factors of 32. 2:... conclusion: 8 is a factor of 32.

1: All factors of 8 are factors of 32. 2: 8 is a factor of 8. conclusion: 8 is a factor of 32.