Concept explainers
a.
The conclusion for the following statements.
a.
Answer to Problem 5PSA
“If d, then f”
Explanation of Solution
Given information: The statements are as follows:
Concept Used:
Every conditional statement “If p, then q” has three other statements associated with it.
A converse (If q, then p)
An inverse
A contrapositive
Calculation:
Conclusion:
b.
The conclusion for the given statements.
b.
Answer to Problem 5PSA
“If s, then (p”
Explanation of Solution
Given information: The statements are as follows:
Concept Used:
Every conditional statement “If p, then q” has three other statements associated with it.
A converse (If q, then p)
An inverse
A contrapositive
Calculation:
Conclusion:
c.
To conclude a result from the statements.
c.
Answer to Problem 5PSA
If bobcats begin to browse, then horses head for home.
Explanation of Solution
Given information: We rewrite the statements in symbolic form.
Concept Used:
Every conditional statement “If p, then q” has three other statements associated with it.
A converse (If q, then p)
An inverse
A contrapositive
Calculation:
From Equation 4 and Equation 1, we get
From Equation 3 and Equation 2, we get
From Equation 5 and Equation 6, we get
Chapter 1 Solutions
Geometry For Enjoyment And Challenge
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