Question
Which of the following conjectures is false?
- The product of two even numbers is even.
- The sum of two even numbers is even.
- The product of two odd numbers is odd.
- The sum of two odd numbers is odd.
Hint:
The sum of two odd numbers be can not be odd.
example: let 3 and 7 are odd numbers. sum of 3 and 7 is 10 which is even.
Therefore, the sum of two odd numbers is even.
The correct answer is: The sum of two odd numbers is odd.
To find the false conjecture.
The false conjecture is the sum of two odd numbers id odd.
Related Questions to study
A concluding statement reached using inductive reasoning is called a _______.
Therefore, the term used for a concluding statement reached using inductive reasoning is called conjecture.
A concluding statement reached using inductive reasoning is called a _______.
Therefore, the term used for a concluding statement reached using inductive reasoning is called conjecture.
Which of the following is the basis for inductive reasoning?
Therefore, observed patterns is the basis for inductive reasoning.
Which of the following is the basis for inductive reasoning?
Therefore, observed patterns is the basis for inductive reasoning.
Complete the conjecture.
The sum of two negative numbers is ___________.
Hence, the sum of two negative numbers is negative.
Complete the conjecture.
The sum of two negative numbers is ___________.
Hence, the sum of two negative numbers is negative.
Find a pattern in the sequence. Use the pattern to show the next two terms.
1, 3, 7, 15, 31, ___, ___
Therefore, the two numbers in the given sequence are 63 and 127
Find a pattern in the sequence. Use the pattern to show the next two terms.
1, 3, 7, 15, 31, ___, ___
Therefore, the two numbers in the given sequence are 63 and 127
Which numbers are not counterexamples for the following statement?
For any numbers a and b, 
= a - b
Therefore, a = 4, b = 2 satisfies the statement = a - b. Hence, a = 4, b = 2 are not counterexamples of the statement = a - b.
Which numbers are not counterexamples for the following statement?
For any numbers a and b, = a - b
Therefore, a = 4, b = 2 satisfies the statement = a - b. Hence, a = 4, b = 2 are not counterexamples of the statement = a - b.
Which number is a counterexample to the following statement?
For all numbers a, 2a + 7 ≤17
So we solved the inequality and then obtained the domain of a based on that we eliminated the options and the n obtained the counter example.
Which number is a counterexample to the following statement?
For all numbers a, 2a + 7 ≤17
So we solved the inequality and then obtained the domain of a based on that we eliminated the options and the n obtained the counter example.
Which of the following is a counterexample to the following conjecture?
If x2 = 4, then x = 2.
We solved the given equation and obtained the roots from that we found the counter example.
Which of the following is a counterexample to the following conjecture?
If x2 = 4, then x = 2.
We solved the given equation and obtained the roots from that we found the counter example.
Which of the boxes comes next in the sequence?
Hence while solving the question we should observe each imagge how iti changed with previous form and obtain general rules for it.
Which of the boxes comes next in the sequence?
Hence while solving the question we should observe each imagge how iti changed with previous form and obtain general rules for it.
Which of the boxes comes next in the sequence?
We carefully observed the pattern and rules to obtain the next image and option a suits
Which of the boxes comes next in the sequence?
We carefully observed the pattern and rules to obtain the next image and option a suits
Consider the conditional statement “If A, then B,” where the hypothesis A is “x and y are even numbers” and the conclusion 𝐵 is “x + y is even”
.Complete the table to give the truth value of the conditional statement and its converse, inverse, and contrapositive.
Sum of two even numbers is even and sum of two odd numbers is also even.
Consider the conditional statement “If A, then B,” where the hypothesis A is “x and y are even numbers” and the conclusion 𝐵 is “x + y is even”
.Complete the table to give the truth value of the conditional statement and its converse, inverse, and contrapositive.
Sum of two even numbers is even and sum of two odd numbers is also even.
When taking the inverse, we _____________ the hypothesis and conclusion.
When taking the inverse, we _____________ the hypothesis and conclusion.
Given, "If angles are congruent, then the measures of the angles are equal." Identify the conclusion.
Given, "If angles are congruent, then the measures of the angles are equal." Identify the conclusion.
Given, "If angles are congruent, then the measures of the angles are equal." Identify the hypothesis.
Given, "If angles are congruent, then the measures of the angles are equal." Identify the hypothesis.
Given, "If angles are congruent, then the measures of the angles are equal." Identify the contrapositive.
Given, "If angles are congruent, then the measures of the angles are equal." Identify the contrapositive.
When taking the converse, we ___________ the hypothesis and conclusion.
To form the converse of the conditional statement, interchange the hypothesis and the conclusion.
When taking the converse, we ___________ the hypothesis and conclusion.
To form the converse of the conditional statement, interchange the hypothesis and the conclusion.
