For each situation, identify whether inductive or deductive...

For each situation, identify whether inductive or deductive reasoning is used. Then state the hypothesis and conclusion. a. The dinosaur Tyrannosaurus rex had sharp teeth. Animals with sharp teeth eat meat. Meat-eating animals are called carnivores. Therefore, Tyrannosaurus rex was a carnivore. b. Krystal adds $5+6$ and gets 11 . Then she adds $13+14$ and gets 27 . Then she adds $92+93$ and gets 185 . Krystal concludes that the sum of any two consecutive integers is odd. c. Kendra uses the properties of numbers to show that $2(x-3)=10$ is equivalent to $x=8$.

For each situation, identify whether inductive or deductive reasoning is used. Then state the hypothesis and conclusion.
a. The dinosaur Tyrannosaurus rex had sharp teeth. Animals with sharp teeth eat meat. Meat-eating animals are called carnivores. Therefore, Tyrannosaurus rex was a carnivore.
b. Krystal adds $5+6$ and gets 11 . Then she adds $13+14$ and gets 27 . Then she adds $92+93$ and gets 185 . Krystal concludes that the sum of any two consecutive integers is odd.
c. Kendra uses the properties of numbers to show that $2(x-3)=10$ is equivalent to $x=8$.

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Key Concepts

Conclusion

The conclusion is the final statement that results from the reasoning process. It is the outcome derived from the hypothesis and premises, representing the end-point of the argument or analysis.

Hypothesis

In the context of logical arguments, the hypothesis is the initial statement or proposition that sets the stage for reasoning. It serves as the assumed basis or starting point from which further analysis is conducted to reach a conclusion.

Inductive Reasoning

Inductive reasoning is a method of reasoning in which predictions or generalizations are made based on specific examples or observations. The conclusions reached through inductive reasoning are probable and can vary in strength depending on the number and representativeness of the examples provided.

Deductive Reasoning

Deductive reasoning is a logical process in which a conclusion follows necessarily from the given premises. If the premises are true, then the conclusion must be true as it is based on the direct application of general rules or principles to specific cases.

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