Identify hypotheses and conclusions

Learning Objectives Define hypothesis and conclusion in the context of a conditional statement. Identify the hypothesis in a given conditional statement. Identify the conclusion in a given conditional statement. Rewrite statements from everyday language into the standard 'if-then' format. Differentiate between the hypothesis and the conclusion in mathematical statements related to algebra and geometry. Analyze a conditional statement to determine its logical parts without including the words 'if' or 'then'. If you get a 90% or higher on the next test, then you'll earn an A. What's the condition and what's the result? 🤔 This tutorial will teach you how to break down logical statements into their two core parts: the hypothesis and...

TermDefinitionExample Conditional StatementA logical statement that has two parts, a hypothesis and a conclusion. It is often written in 'if-then' form.If a polygon has three sides, then it is a triangle. HypothesisThe first part of a conditional statement, following the word 'if'. It represents the condition or the cause.In the statement 'If it is snowing, then it is cold,' the hypothesis is 'it is snowing'. ConclusionThe second part of a conditional statement, following the word 'then'. It represents the result or the effect.In the statement 'If it is snowing, then it is cold,' the conclusion is 'it is cold'. 'If-Then' FormThe standard structure for writing a conditional statement, which makes the hypothesis...

Standard Conditional Form If p, then q. This is the fundamental structure. 'p' represents the hypothesis, and 'q' represents the conclusion. Hypothesis Identification Rule Hypothesis = p To find the hypothesis, look for the clause that immediately follows the word 'if'. Do not include the word 'if' in the hypothesis itself. Conclusion Identification Rule Conclusion = q To find the conclusion, look for the clause that immediately follows the word 'then'. Do not include the word 'then' in the conclusion itself.