Jazmine B.

asked • 04/05/16

Construct a truth table for the statement.

~p→~q, q→~p
 
construct a table for ~p→~q
construct a table for q→~p
 
 
Are the statements equivalent?

1 Expert Answer

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Mark M. answered • 04/05/16

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If ~p → ~q, then the contrapositive, q → p, is true.
If q → p is true, then q → ~p is false.
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Jazmine B.

I get that but I asked for a truth table as well
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04/05/16

Mark M.

tutor
What is it about a truth table that you are not able to construct?
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04/05/16

Jazmine B.

I can construct one . I was trying to check my answers . 
 
For or the first one  I came up with 
p T T F F
q T F T F
˜p→˜q T F T T
 
the second one I came up with 
P T T F F
q T F T F 
q→˜p F T T T
 
and that the statement is equivalent. I was trying to check my work wasn't sure if I was correct
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04/05/16

Mark M.

tutor
I agree with your tables. Yet they demonstrate the two are not .equivalent. The top one is T T F F while the bottom one it F T T T.
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04/05/16

Jazmine B.

Thank you for helping me correct myself
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04/05/16

Mark M.

tutor
You are very welcome!
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04/05/16

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