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For each of the following conditionals, identify the antecedent and the consequent. Form the converse, inverse, and contrapositive.

(a) If I don't go to the movie, I'll study my math.
(b) Your car won't start if you don't have gasoline in the tank.

Submitted: 488 days and 20 hours ago.

Category: Math

Value: $9

Status: CLOSED

Optional Information:
Subject: Math

Accepted Answer

Hi there!
(a) If I don't go to the movie, I'll study my math.
ante: I don't go to the movie
cons: I'll study my math
converse: If I study my math, I won't go to the movie
inverse: If I go to the movie, I won't study my math
Contrapos: If I don't study my math, I won't go to the movie

(b) Your car won't start if you don't have gasoline in the tank.
ant: you don't have gasoline in the tank
conse: your car won't start
Converse: If your car won't start, then you don't have gasoline in the tank
inverse: If you have gasoline in the tank, your car will start
Contrapos: If your car will start, then you have gasoline in the tank.
Let me know if you have any questions,
Scott

Accepts:
Expert:	Scott
Pos. Feedback:	100.0 %
Answered:	7/21/2008

MIT Graduate

College degree in math... proficient in all levels -- from algebra to calculus

488 days and 20 hours ago.

Reply

I have another question can you answer it?

Use De Morgan’s laws to write an equivalent statement for the following sentence:

If we go to San Antonio, then we will go to Sea World or we will not go to Busch Gardens.

Accepted Answer

Ok, this one is tricky... but here goes...
The statement says:
S -> W or ~B
Rewrite:
S -> ~~W or ~B
Use the law:
S -> ~(~W and B)
In words:
If we go to San Antonio, then it is not the case that we will go to both Busch Gardens and not go to Sea World.
Let me know if that makes sense,
Scott

Accepts:
Expert:	Scott
Pos. Feedback:	100.0 %
Answered:	7/22/2008

MIT Graduate

College degree in math... proficient in all levels -- from algebra to calculus

488 days and 19 hours ago.

Reply

It makes sense thank you very much. If I need to pay more let me know please I dont want to be short since you helped me a lot.

Posted by Scott 488 days and 19 hours ago.

Info Request

Glad to help! The pay is up to you. As an expert, we aren't allowed to talk about that :)
-Scott

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Question

For each of the following conditionals, identify the antecedent and the consequent. Form the converse, inverse, and contrapositive. (a) If I don't go to the movie, I'll study my math. (b) Your car won't start if you don't have gasoline in the tank.

Optional Information

Optional Information: Subject: Math

Accepted Answer

Reply

I have another question can you answer it? Use De Morgan’s laws to write an equivalent statement for the following sentence: If we go to San Antonio, then we will go to Sea World or we will not go to Busch Gardens.

Accepted Answer

Ok, this one is tricky... but here goes...The statement says:S -> W or ~BRewrite:S -> ~~W or ~BUse the law:S -> ~(~W and B)In words:If we go to San Antonio, then it is not the case that we will go to both Busch Gardens and not go to Sea World. Let me know if that makes sense,Scott

Reply

It makes sense thank you very much. If I need to pay more let me know please I dont want to be short since you helped me a lot.

Info Request

Glad to help! The pay is up to you. As an expert, we aren't allowed to talk about that :)-Scott

Related Math Questions

For each of the following conditionals, identify the antecedent and the consequent. Form the converse, inverse, and contrapositive.

(a) If I don't go to the movie, I'll study my math.
(b) Your car won't start if you don't have gasoline in the tank.

Optional Information:
Subject: Math

I have another question can you answer it?

Use De Morgan’s laws to write an equivalent statement for the following sentence:

If we go to San Antonio, then we will go to Sea World or we will not go to Busch Gardens.

Ok, this one is tricky... but here goes...
The statement says:
S -> W or ~B
Rewrite:
S -> ~~W or ~B
Use the law:
S -> ~(~W and B)
In words:
If we go to San Antonio, then it is not the case that we will go to both Busch Gardens and not go to Sea World.
Let me know if that makes sense,
Scott

Glad to help! The pay is up to you. As an expert, we aren't allowed to talk about that :)
-Scott