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Studentka2010 [4]
3 years ago
12

Which of the following disjunctions is false ?

Mathematics
1 answer:
notsponge [240]3 years ago
7 0
A disjunction is false if both parts of the disjunction are false; otherwise, it is true
----------------------------------------------
Choice A

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

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

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

Neither part is false, so overall the entire thing is true
----------------------------------------------
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.
----------------------------------------------
Choice D

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

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

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Answer:

(-2,-1,-3)

Step-by-step explanation:

5x-4y-3z=3

x+y-z=0

x=3y+1

Multiply the second equation by -3

-3(x+y-z)=0*3

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Add this to the first equation to eliminate z

5x-4y-3z=3

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--------------------

2x-7y =3

Substitute x =3y+1 into the above equation

2(3y+1) -7y=3

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-y+2 =3

Subtract 2 from each side

-y+2-2 = 3-2

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Multiply by -1

-y*-1 = 1*-1

y =-1

We need to find x

x=3y+1

x =3(-1) +1

x =-3+1

x=   -2

Now we need to find z

x+y-z=0

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(-2,-1,-3)

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