Hypothesis and conclusions of an argument

Algebra I: Hypothesis and conclusions of an argument

This is a free lesson from our course in Algebra I


	This lesson explains how to identify the hypothesis and conclusions in an argument. A hypothesis is something that is taken to be true for the purpose of an argument or an investigation. It is typically a part of a conditional statement and follows the word "if". The conclusion, on the other hand, is the conditional statement's part that follows the word "then". E.g., in the statement "If it is raining outside, then you'll need an umbrella", "it is raining" is the hypothesis and "you'll need an umbrella" is the conclusion. E.g. Determine a valid conclusion that follows from the statement “If it is Saturday, then Sarah is wearing red shoes” for the given conditions. (More text below video...)

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Inductive vs. Deductive reasoning

Find a counter-example or otherwise disprove a conjecture

(Continued from above)If a valid conclusion does not follow, write no valid conclusion and explain why.
  • Sarah is wearing red shoes.
    The conclusion is true. If it is Saturday then the hypothesis is true also. However, if Sarah is wearing red shoes on Sunday then the hypothesis is false. Therefore, there is no valid conclusion.
  • It is Saturday.
    It is Saturday, so the hypothesis is true.
Conclusion: Sara is wearing red shoes.

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