Reasoning and Proof

A student in a particular school needs to get a grade of 85 and above to participate in sports. Aaron got 86, so he concludes that he can participate in sports. Is thid deductive or inductive reasoning?

• Inductive Reasoning

• Deductive Reasoning

 Holly notices that every Saturday, her neighbor mows his lawn. Today is Saturday. Holly concludes her neighbor will mow his lawn. Is this inductive or deductive reasoning?

• Inductive Reasoning

• Deductive Reasoning

Each time Monica kicks a ball up in the air, it returns to the ground. So, the next time Monica kicks a ball up in the air, it will return to the ground. Is this inductive or deductive reasoning?

• Inductive Reasoning

• Deductive Reasoning

All reptiles are cold-blooded. Parrots are not cold-blooded. Sue’s pet parrot is not a reptile. Is this inductive or deductive reasoning?

• Inductive Reasoning

• Deductive Reasoning

You have been on a diet for 3 weeks and lose 3 pounds. You conclude that you can lose 20 more pounds in the next 20 weeks. Is this inductive or deductive reasoning?

• Inductive Reasoning

• Deductive Reasoning

Identify the property of equality.

If a = b, then a + c = b + c

• Addition

• Subtraction

• Multiplication

• Division

Identify the property of equality.

If a = b, then a - c = b - c

• Addition

• Subtraction

• Multiplication

• Division

Identify the property of equality.

If a = b, then a(c) = b(c)

• Addition

• Subtraction

• Multiplication

• Division

Identify the property of equality.

If a = b, then a/c = b/c

• Addition

• Subtraction

• Multiplication

• Division

Identify the property of equality.

a = a

• Reflexive

• Transitive

• Symmetric

• Substitution