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Alexus [3.1K]
3 years ago
7

Proofs are used to show that a mathematical statement is true. The most common form of mathematical statements are if-then state

ments. Give an example of a true mathematical statement and a false mathematical statement in if-then form. For the false statement, include a counterexample showing that the statement isn’t true.
Mathematics
2 answers:
iragen [17]3 years ago
8 0

Answer:

True mathematical statement.

"If x = 0, then for any real number y, we have: y*x = 0."

This is true, and we can prove it with the axioms of the real set.

A false mathematical statement can be:

"if n and x are integer numbers, then n/x is also an integer number."

And a counterexample of this is if we took n = 1 and x = 2, both are integer numbers, so the first part is true, but:

n/x = 1/2 = 0.5 is not an integer number, then the statement is false,

Allisa [31]3 years ago
6 0

Answer:

True mathematical statement.

"If x = 0, then for any real number y, we have: y*x = 0."

This is true, and we can prove it with the axioms of the real set.

A false mathematical statement can be:

"if n and x are integer numbers, then n/x is also an integer number."

And a counterexample of this is if we took n = 1 and x = 2, both are integer numbers, so the first part is true, but:

n/x = 1/2 = 0.5 is not an integer number, then the statement is false,

Step-by-step explanation:

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(7a^3 -2a-2)+(-5a+3)
atroni [7]

Answer:

7a  3  −7a+1

Step-by-step explanation: I hope this help.

STEP

1

:

Equation at the end of step 1

 ((7a3 -  2a) -  2) +  (3 - 5a)

STEP

2

:

Polynomial Roots Calculator :

2.1    Find roots (zeroes) of :       F(a) = 7a3-7a+1

Polynomial Roots Calculator is a set of methods aimed at finding values of  a  for which   F(a)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  a  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  7  and the Trailing Constant is  1.

The factor(s) are:

of the Leading Coefficient :  1,7

of the Trailing Constant :  1

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        1.00      

     -1       7        -0.14        1.98      

     1       1        1.00        1.00      

     1       7        0.14        0.02      

Polynomial Roots Calculator found no rational roots

Final result :

 7a3 - 7a + 1

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Answer:

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Step-by-step explanation:

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Deduction is a term used as inference to a known and validated principle. This is when you analyze points through logic from a given set of rules and conditions. You relate how the situation may conform to the rules. Thus. there is no wrong deduction. If you analyze it to be true, then that must be definitely correct. Therefore, the answer is letter B. What must be true.
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Answer:

Answer. Answer: A system of linear equation has no solution when the graphs are parallel.Step-by-step explanation:

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