Logical Reasoning

Determine whether this sentence is a statement or not. If yes, determine its truth value.

"Perak is located in Malaysia."

• Not a statement.

• Statement. False.

• Statement. True.

"Sabah is one of state in Malaysia ________ located at west side of Malaysia."

What is the correct word to make this compound statement is true.

• and

• or

• but

p : x is even number.

q : x can be divided by 2.

What is the implication for the statements above?

• If x is even number, then x can be divided by 2.

• If x can be divided by 2, then x is even number.

• If x cannot be divided by 2, then x is not even number.

• If x is not even number, then x cannot be divided by 2.

Determine the implications for the statement below.

"PQRS is a quadrilateral if and only if PQRS have four sides."

• If PQRS have four sides, then PQRS is a quadrilateral.

• If PQRS don't have four sides, then PQRS is not a quadrilateral.

• If PQRS is a quadrilateral, then PQRS have four sides.

• If PQRS is not a quadrilateral, but PQRS don't have four sides.

Implication can be divided into several type, which is

• Statement

• Inverse

• Converse

• Contrapositive

What is the counter-example for the statement below?

"All prime numbers is even number."

• 1 is odd number.

• 3 is odd number.

• 5 is even number.

• 7 is a prime number.

Which statement below is general?

• 14 is divisible by 7.

• Rhombus is a quadrilateral.

• All quadrilateral have four sides.

• The area of square is $8\ mm^2$ .

Tags

CCSS.3.G.A.1

Arguments can be divided into two part which is

• Inductive argument.

• Deductive argument.

• Specific argument.

• General argument.

Inductive argument is a process of making a specific conclusion based on general premises.

• True

• False

Determine the conclusion for each deductive argument to form a valid and sound deductive.

Premise 1 : All reptiles are cold blooded.

Premise 2 : Lizards are reptiles.

Conclusion : _____________________.