Mark M. answered • 04/05/16

Mathematics Teacher - NCLB Highly Qualified

Mark M.

04/05/16

Jazmine B.

04/05/16

Mark M.

04/05/16

Jazmine B.

04/05/16

Mark M.

04/05/16

Jazmine B.

asked • 04/05/16~p→~q, q→~p

construct a table for ~p→~q

construct a table for q→~p

Are the statements equivalent?

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Mark M. answered • 04/05/16

Tutor

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Mathematics Teacher - NCLB Highly Qualified

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

If q → p is true, then q → ~p is false.

Mark M.

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.

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.

You are very welcome!

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04/05/16

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Jazmine B.

04/05/16