Maths-
General
Easy
Question
Show the conjecture is false by finding a counterexample. If the product of two numbers is positive, then the two numbers must both be positive.
Hint:
Inductive Reasoning is the process of drawing a general conclusion by observing a pattern based on the observations and this conclusion is called conjecture.
Counterexample: It is an example which shows that the conjecture is false.
The correct answer is: Hence, the counterexample for the given conjecture is the product of -1 and -3.
Let’s take the pair (2,4), (8,9) and (10,11)
Write the product of the numbers in the given pair
2 × 4 = 8
8 × 9 = 72
10 × 11 = 110
We can see that the product of two positive numbers is positive
But id we take a pair (-1,-3). Their product is
-1 × (-3) = 3
The product of -1 and -3 is positive but the numbers are not positive. So, the given conjecture is wrong
Final Answer:
Hence, the counterexample for the given conjecture is the product of -1 and -3.
Related Questions to study
Maths-
Use the Law of Detachment to make a valid conclusion in the true situation.
Jim works every alternate day. He worked yesterday.
Use the Law of Detachment to make a valid conclusion in the true situation.
Jim works every alternate day. He worked yesterday.
Maths-General
Maths-
Show the conjecture is false by finding a counterexample. The square root of any positive integer x is always less than x.
Show the conjecture is false by finding a counterexample. The square root of any positive integer x is always less than x.
Maths-General
Maths-
Use the Law of Syllogism to write a new conditional statement that follows from the pair of true statements.
If 𝑃 ⊆ 𝑄, then 𝑃 ⊆ 𝑅.
If 𝑃 ⊆ 𝑅, then 𝑃 ⊆ 𝑆.
Use the Law of Syllogism to write a new conditional statement that follows from the pair of true statements.
If 𝑃 ⊆ 𝑄, then 𝑃 ⊆ 𝑅.
If 𝑃 ⊆ 𝑅, then 𝑃 ⊆ 𝑆.
Maths-General
Maths-
Aaryan has Rs 50 and saves Rs 5.50 each week. Charan has Rs 18.50 and saves Rs7.75 each week. After how many weeks will Aaryan and Charan have saved the same amount ?
Aaryan has Rs 50 and saves Rs 5.50 each week. Charan has Rs 18.50 and saves Rs7.75 each week. After how many weeks will Aaryan and Charan have saved the same amount ?
Maths-General
Maths-
Explain how you can prove that AB = CD
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)
Explain how you can prove that AB = CD
![](data:image/png;base64,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)
Maths-General
Maths-
Show the conjecture is false by finding a counterexample. All prime numbers are odd.
Show the conjecture is false by finding a counterexample. All prime numbers are odd.
Maths-General
Maths-
Solve ![fraction numerator 4 x over denominator 5 end fraction minus straight x equals x over 10 minus 9 over 2](data:image/png;base64,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)
Solve ![fraction numerator 4 x over denominator 5 end fraction minus straight x equals x over 10 minus 9 over 2](data:image/png;base64,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)
Maths-General
Maths-
Complete the conjecture. The sum of the first n odd positive integers is ____.
Complete the conjecture. The sum of the first n odd positive integers is ____.
Maths-General
Maths-
Use the Law of Syllogism to write a new conditional statement that follows from the pair of true statements.
If an element is in set A, then it is in set B.
If an element is in set C, then it is in set A.
Use the Law of Syllogism to write a new conditional statement that follows from the pair of true statements.
If an element is in set A, then it is in set B.
If an element is in set C, then it is in set A.
Maths-General
Maths-
Explain how you can prove BC = DC
![](data:image/png;base64,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)
Explain how you can prove BC = DC
![](data:image/png;base64,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)
Maths-General
Maths-
Use the distributive property to solve the equation 28- (3x+4)= 2(x+6)+x
Use the distributive property to solve the equation 28- (3x+4)= 2(x+6)+x
Maths-General
Maths-
Find a counterexample to show that the following conjecture is false.
Conjecture: The square of any integer is always greater than the integer.
Find a counterexample to show that the following conjecture is false.
Conjecture: The square of any integer is always greater than the integer.
Maths-General
Maths-
Explain how you can prove that ∠BAD ≅ ∠BCD
![](data:image/png;base64,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)
Explain how you can prove that ∠BAD ≅ ∠BCD
![](data:image/png;base64,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)
Maths-General
Maths-
Solve the equation ![fraction numerator x plus 6 over denominator 3 end fraction equals fraction numerator x minus 3 over denominator 2 end fraction](data:image/png;base64,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)
Solve the equation ![fraction numerator x plus 6 over denominator 3 end fraction equals fraction numerator x minus 3 over denominator 2 end fraction](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAG0AAAAjCAYAAACeqoRKAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAmBJREFUeNrtm89HBGEYx0fWylqRZKVDJEmH1SXJSiJJ9pBI1h6S6NBp/4cundKhSzp2iCTJWpEk6RBrpVO6dOofWMlYsT2PfWIOEzPzzK9n9vnwpXm3mX2fed55n+ed91nDiBfToHNQE2SCrkHzRrJZANVA32TzO+gQNCCh8zvkpHE67gOVQY8Jd9o9aA2UtrRNgW6i6lDb4f9NguqGYqXp5aRt0L5N+x595qfTjkGlGN0wP2znMAp683pyA5SzHG+BjgJ40rCDQzEb6VzbvZCj78G4tuL1IsugA/p7EXQX0PRoUiy7pIDcoumyHKHTuLa7vU9WVbgXvKUM7sVBRtN2oP/Oa9DoSoF6QAUacbsROi4M2630g1ZBz9ysuUIjPx9gIoJBd9imHbOozwidxrGdQ5Yc5wkc7Rc0TZQCdFqNni47WhE5jGs7F9NrBoPrpgx5vu5hwefUaTgFbti0T3BGHDN749rOIU+hwRWDNPqtHS2CTgNyGi4sHyidTlHbDOiVkoAw8ct2p6Dd65ZYjm9IPkCbbi6SpizOLsacUVYV1M06AX2BfsiYuZAdFoXtaGOVpkOT3pAU9d2CoihKV+PH4lZR4jFS4yC1XadHRVEURVGSguhyMCZ/Wzm4N4jbSbhxWpbQ8diVg4UIvuDGfbcsHWOF2ZMRr4IlVzSN7mTE6GwviYNVDpYATEmd9aUcTDizNEXGHt/LwYTSa3RKJQqSOu1bOZhA0PYr0JJUA1jlYEJjODpsTIOxDLB6DOtcMtIN8VQOJhBMvPC3dSmJC0x2OZhQqvSkiaOby8FC28f7BdDWBNQY4xMRAAAA2HRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtZnJhYz48bXJvdz48bWk+eDwvbWk+PG1vPis8L21vPjxtbj42PC9tbj48L21yb3c+PG1uPjM8L21uPjwvbWZyYWM+PG1vPj08L21vPjxtZnJhYz48bXJvdz48bWk+eDwvbWk+PG1vPiYjeDIyMTI7PC9tbz48bW4+MzwvbW4+PC9tcm93Pjxtbj4yPC9tbj48L21mcmFjPjwvbWF0aD6tthD5AAAAAElFTkSuQmCC)
Maths-General
Maths-
What are the first three numbers in the pattern? −, −, −, 64, 128, 256, …
What are the first three numbers in the pattern? −, −, −, 64, 128, 256, …
Maths-General