SOLUTION: Use a quantifier to make the following true or false, as indicated, where x is a natural number. x - 10 = 10 - x (make false) A) For x = 10, x - 10 = 10 - x. B) At least one na

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Question 675223: Use a quantifier to make the following true or false, as indicated, where x is a natural number. x - 10 = 10 - x (make false)
A) For x = 10, x - 10 = 10 - x.
B) At least one natural number x exists such that x - 10 = 10 - x.
C) There exists a natural number x such that x - 10 = 10 - x.
D) There is no natural number x such that x - 10 = 10 - x.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Use a quantifier to make the following true or false, as indicated, where x is a natural number. x - 10 = 10 - x (make false)
A) For x = 10, x - 10 = 10 - x.
True: 0 = 0
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B) At least one natural number x exists such that x - 10 = 10 - x.
2x = 20
x = 10
Ans: True
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C) There exists a natural number x such that x - 10 = 10 - x.
Ans: True, x = 10
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D) There is no natural number x such that x - 10 = 10 - x.
Ans: False
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Cheers,
Stan H.