Question 191999: I got these two questions wrong on my test, can someone show me how to do these two? I appreciate it!
(1) For each of the following conditionals, identify the antecedent and the consequent. Form the converse, inverse, and contrapositive.
(a) If I go to work, then I will get paid.
(b) Your yard will not look good if you don’t mow the grass.
(5) Rewrite ~ (p ~q) using DeMorgan's laws.
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! # 1 I'll do the first part a) to get you started.
Conditional statements are of the form "If P, then Q" where P is the antecendent and Q is the consequent.
So
Antecedent: I go to work
Consequent: I will get paid
The converse of "If P, then Q" is "If Q, then P". So the converse of "If I go to work, then I will get paid." is "If I get paid, then I will go to work"
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The inverse of "If P, then Q" is "If NOT P, then NOT Q". So the inverse of "If I go to work, then I will get paid." is "If I do NOT go to work, then I will NOT get paid"
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Finally, the contrapositive of "If P, then Q" is "If NOT Q, then NOT P".
So the contrapositive of "If I go to work, then I will get paid." is "If I do NOT get paid, then I will NOT go to work."
Note: the "not"s are capitalized for emphasis and you obviously wouldn't write them out like that.
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# 5
Q: Rewrite ~ (p ~q) using DeMorgan's laws.
What is the question mark for? Does a symbol go there?
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