inductive and Deductive Reasoning

Deductive Reasoning

Monkeys like bananas. Lucy is a monkey. Lucy likes bananas.

Deductive Reasoning

Supplementary angles add to 180 degrees. <1 and <2 are supplementary. m<1=100 degrees. Therefore, m<2 is 80 degrees.

Inductive Reasoning

2, 4, 6, 8, 10, ... 12

Deductive Reasoning

All bald men are grandfathers. Harold is bald. Therefore, Harold is a grandfather. (False Statement)

Inductive Reasoning

Harry is a heart breaker. Harry is a man. Therefore, all men are heart breaker. (False Statement)

Inductive Reasoning

My Math teacher is female. My last Math teacher was female. Therefore, all Math teachers are female. (False Statement)

Deductive Reasoning

If quadrilaterals have 4 sides. Squares have 4 sides. Then a square is a quadrilateral.

Inductive Reasoning

My dad has curly hair. My brother has curly hair. Therefore, everyone I am related to has curly hair.

Inductive Reasoning

I hate Geometry. I hate Algebra. I hate Statistics. Therefore, I hate Mathematics.

Deductive Reasoning

All teachers are teaching. Mary isn't teaching. Therefore, Mary isn't a teacher.

Deductive Reasoning

If A=B and B=C, then A=C.

Inductive Reasoning

All children in the day care center like to play with Legos. All children, therefore, enjoy playing with Legos.

Inductive Reasoning

Ray is a football player. All football players weigh more than 170 pounds. Ray weighs more than 170 pounds.

Deductive Reasoning

Acute angles are less than 90 degrees and this angle is 40 degrees so this angle is acute.

Inductive Reasoning

The chair in the living room is red. The chair in the dining room is red. The chair in the bedroom is red. All chairs in the house are red

Inductive Reasoning

Jennifer leaves for school at 7:00 am. Jennifer is always on time. Jennifer assumes, then, that she will always be on time if she leaves a 7 am.