Concept explainers
The conclusion from the following statements
Answer to Problem 10PSC
At least one of the given statements is false.
Explanation of Solution
Given information: We rewrite the statements in symbolic form.
Concept Used:
Theorem: If a conditional statement is true, then the contrapositive of the statement is also true.
In other words, a statement and contrapositive are logically equivalent.
Calculation:
To complete the chain of reasoning, we will apply above theorem to Equation 1 and we get
Conclusion:
It can be concluded that first and second statements are true while last statement is false.
Chapter 1 Solutions
Geometry For Enjoyment And Challenge
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