A department store's customer parking lot has 4 rows with an equal number of parking spots in each row. The lot also has 15 park
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Answer:
a
b
If <u>all prime numbers are odd,</u> then <u>2 is odd</u>.
2 is not odd.
Therefore, it is not the case that all prime numbers are odd.
Step-by-step explanation:
Considering part A
The first sentence is
If all computer programs contain errors, then this program contains an error.
The second sentence is
This program does not contain an error.
The third sentence is
Therefore, it is not the case that all computer programs contain errors.
Now we will use a and b as the letter to denote the component sentences and and
when the component sentences is not the case
So a = If all computer programs contain errors
and
b = this program contains an error.
Generally then is represented as
Hence the first sentence is denoted as
The second sentence is represented as
The third sentence is represented as
So part a can be represented as
Considering part B
Here the objective is to fill in the blank spaces so that the logic of the sentence in part b is as that in part a
Now comparing the second statement a and b
"This program does not contain an error" = "2 is not odd" =
Hence "this program contains an error." = "2 is odd" = b
Now comparing the third statement a and b
Therefore, it is not the case that all computer programs contain errors.
=
Therefore, it is not the case that all prime numbers are odd
=
Hence
If all computer programs contain errors, = if all prime numbers are odd.= a