Question
If it is a fraction, then it is a number between zero and one. What is an appropriate counterexample?
Hint:
We can clearly say that if fraction is between 0 and 1 then numerator < denominator
So we can easily find
is 1.5 which doesn’t lie between zero and one.
The correct answer is:
In the option we were asked to find the counter example of a fraction lying between 0 and 1
We first understood what is the condition for a fraction to lie between 0 and 1 and then eliminated remaining options
Related Questions to study
Find the pattern to solve the sequence 2, 4, 7, 11….
So from the above solution we can say that +2,+3,+4... is the correct option
Find the pattern to solve the sequence 2, 4, 7, 11….
So from the above solution we can say that +2,+3,+4... is the correct option
Which is a counterexample of any number divisible by 2 is divisible by 4.
We eliminated the incorrrect options to obtain the correct option
Which is a counterexample of any number divisible by 2 is divisible by 4.
We eliminated the incorrrect options to obtain the correct option
Find the next item in the pattern:
- 3, 6, - 12, 24, ...
Here we observed the pattern in each stage and obtained a certain result to find the next erm
Find the next item in the pattern:
- 3, 6, - 12, 24, ...
Here we observed the pattern in each stage and obtained a certain result to find the next erm
Which of the following conjectures is false?
The false conjecture is the sum of two odd numbers id odd.
Which of the following conjectures is false?
The false conjecture is the sum of two odd numbers id odd.
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.
