What is inductive reasoning?
Lesson 2.1 Inductive Reasoning and Conjectures

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Mathematics
•
10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
Inductive reasoning is the process of observing patterns and making generalizations or conjectures based on those observations.
2.
FLASHCARD QUESTION
Front
What is a counterexample?
Back
A counterexample is an example that disproves a statement or conjecture.
3.
FLASHCARD QUESTION
Front
Provide a counterexample to the statement: 'If an animal is furry, then it is a hamster.'
Back
A cat is a counterexample because it is furry but not a hamster.
4.
FLASHCARD QUESTION
Front
How many squares are in a figure with 11 squares?
Back
There are 11 squares in the figure.
5.
FLASHCARD QUESTION
Front
What is the conjecture regarding the product of two odd numbers?
Back
The product of any two odd numbers is odd.
6.
FLASHCARD QUESTION
Front
What does the statement 'For all numbers a, 2a + 7 ≤ 17' imply?
Back
It implies that for any value of 'a', the expression 2a + 7 should not exceed 17.
7.
FLASHCARD QUESTION
Front
What is an example of a number that serves as a counterexample to the statement 'For all numbers a, 2a + 7 ≤ 17'?
Back
a = 6 is a counterexample because 2(6) + 7 = 19, which is greater than 17.
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