Consider the following implication: "If you drink coffee then you won't be able to sleep." Which of the following is the contrapositive of this statement? O If you can sleep then you didn't drink coffee. O If you can't sleep then you drank coffee. O If you don't drink coffee then you will be able to sleep. Which of the following is the inverse of this statement? O If you can sleep then you didn't drink coffee. O If you don't drink coffee then you will be able to sleep. O If you can't sleep then you drank coffee. Which of the following is the converse of this statement? O If you can sleep then you didn't drink coffee. If you don't drink coffee then you will be able to sleep. O If you can't sleep then you drank coffee.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.3: Divisibility
Problem 10TFE
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Consider the following implication:
"If you drink coffee then you won't be able to sleep."
Which of the following is the contrapositive of this statement?
O If you can sleep then you didn't drink coffee.
O If you can't sleep then you drank coffee.
O If you don't drink coffee then you will be able to sleep.
Which of the following is the inverse of this statement?
O If you can sleep then you didn't drink coffee.
O If you don't drink coffee then you will be able to sleep.
O If you can't sleep then you drank coffee.
Which of the following is the converse of this statement?
O If you can sleep then you didn't drink coffee.
If
you
don't drink coffee then you will be able to sleep.
O If you can't sleep then you drank coffee.
Transcribed Image Text:Consider the following implication: "If you drink coffee then you won't be able to sleep." Which of the following is the contrapositive of this statement? O If you can sleep then you didn't drink coffee. O If you can't sleep then you drank coffee. O If you don't drink coffee then you will be able to sleep. Which of the following is the inverse of this statement? O If you can sleep then you didn't drink coffee. O If you don't drink coffee then you will be able to sleep. O If you can't sleep then you drank coffee. Which of the following is the converse of this statement? O If you can sleep then you didn't drink coffee. If you don't drink coffee then you will be able to sleep. O If you can't sleep then you drank coffee.
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