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Which of the following disjunctions is false ?

A. 4 - 3 = 2 or 6 · 3 = 9
B. 5 · 6 = 30 or 3 + 4 = 7
C. 8 + 3 = 11 or 5 · 4 = 23
D. 7 + 6 = 13 or 5 · 2 = 10

Respuesta :

A disjunction is false if both parts of the disjunction are false; otherwise, it is true
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Choice A

4-3=2 is false
6*3=9 is false

both parts are false, so overall the entire disjunction is false
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Choice B

5*6=30 is true
3+4=7 is true

Neither part is false, so overall the entire thing is true
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Choice C

8+3=11 is true
5*4=23 is false

While second piece is false, the overall disjunction is true. The first part (true) makes the whole thing true.
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Choice D

7+6=13 is true
5*2=10 is true

Neither part is false, so overall the entire thing is true
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In summary, we have

A. False
B. True
C. True
D. True

Making choice A the only answer that is false. So choice A is the final answer

Both 4 – 3 = 2 and 6 · 3 = 9 parts are false, so overall the entire disjunction is false.

What is a disjunction?

A logical relation called a disjunction states that either one or more of the stated choices are correct.

A. 4 – 3 = 2, is false

6 · 3 = 9, is false

Both parts are false, so overall the entire disjunction is false

B. 5 · 6 = 30, is true

3 + 4 = 7, is true

Neither part is false, so overall the entire thing is true

C. 8 + 3 = 11, is true

5 · 4 = 23, is false

While second piece is false, the overall disjunction is true. The first part (true) makes the whole thing true.

D. 7 + 6 = 13, is true

5 · 2 = 10, is true

Neither part is false, so overall the entire thing is true

More about the disjunctions link is given below.

https://brainly.com/question/27960230

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