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Example 3c: Determine the truth value of the following statement for each set of conditions. If Sam rests for 10 days, his ankle will heal. Sam rests for 10 days, and he does not have a hurt ankle anymore. The hypothesis is true since Sam rested for 10 days, and the conclusion is true because he does not have a hurt ankle. Answer: Since what was stated is true, the conditional statement is true.
Example 3d: Determine the truth value of the following statement for each set of conditions. If Sam rests for 10 days, his ankle will heal. Sam rests for 7 days, and he does not have a hurt ankle anymore. The hypothesis is false, and the conclusion is true. The statement does not say what happens if Sam only rests for 7 days. Answer: In this case, we cannot say that the statement is false. Thus, the statement is true.
Page 1 and 2: 2.3 Conditional Statements
Page 3 and 4: If-Then Statements • A conditiona
Page 5 and 6: Example 1b: Identify the hypothesis
Page 7 and 8: If-Then Statements • AS we just w
Page 9 and 10: Example 2b: Identify the hypothesis
Page 11 and 12: If-Then Statements • Since a cond
Page 13: Example 3b: Determine the truth val
Page 17 and 18: If - Then Statements • From our r
Page 19 and 20: Converse, Inverse, and Contrapositi
Page 21 and 22: Example 4: Write the converse, inve
Page 23 and 24: Your Turn: Write the converse, inve

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