Logical Reasoning-Grade 8

What is the inverse of the converse of the contrapositive of the converse of the inverse of the converse of the contrapositive of the inverse of the converse

• Converse

• Conditional

• Inverse

• Contrapositive

What proves that the conjecture is false?

• Reasoning

• Statement

• Counterexample

• Counterfeit

What is the biconditional form of this conditional statement? And is it true? If it is false what is the proof?

If the perimeter of a rectangla equals 28cm, then the dimensions are 10Cm and 4cm

• The perimeter of the rectangle equals 28cm if and only if its dimensions measure 10cm and 4cm. TRUE

• The dimensions of a rectangle equals 10cm and 4cm if and only if the perimeter equals to 28cm. FALSE, the proof is that if the dimensions are computed, 26cm is the answer, not 28cm.

• The perimeter of the rectangle equals 28cm if and only if its dimensions measure 10cm and 4cm. FALSE, the proof is that if the dimensions are 5cm and 9cm you will reach the same answer.

• The dimensions of a rectangle equals 10cm and 4cm if and only if the perimeter equals to 28cm. FALSE

What is inverse statement?

• p - q

• p <——> q

• ~p - ~q

• q - p

Find the next number in this sequence

2, 5, 9, 14,..

• 21

• 22

• 20

• 19

Tags

CCSS.HSF.BF.A.2

What is the conjecture of:

A, B, C, C, C, C

• All letters are the First initials of the last name of the girls in Bernadine

• All letters are the First initials of the last name of the boys in Bernadine

If c+y=k, then y=k-c

what is the converse of this statement?

• If c+y≠k, then y≠ k-c

• If y=k-c, then c+y=k

• If y≠k-c, then c+y≠k

Tags

CCSS.HSG.CO.C.9

All fast foods have employees

Mcdo is a fastfood

Mcdo has employees

what kind of reasoning is this? is the conjecture true?

• Inductive, True

• Deductive, False

• Deductive, True

• Inductive, False

Find the next 2 numbers in the sequence

13, 7, 26, 14

• 39, 22

• 36, 23

• 36, 24

• 39, 21

Tags

CCSS.5.OA.B.3

What is the contrapositive Statement of this statement? Is it true or false?

If my dog is cute, then I am cute

• If my dog is not cute, then I am not cute FALSE

• If I am cute, then my dog is cute FALSE

• If i am not cute, then my dog is not cute TRUE

• If i am not cute, then my dog is not cute FALSE

Tags

CCSS.RI.7.1

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.8.1

CCSS.RL.9-10.1