Question

Question 3 (8 marks)
Which one of the following statements is inductive reasoning and which one is deductive reasoning example? Explain with reasoning for each answer.
Argument
Inductive
Deductive

Since 
 
11 x (1)(101) = 1111 
11 x (2)(101) = 2222  
11 x (3)(101) = 3333  
11 x (4)(101) = 4444  
11 x (5)(101) = 5555  
 
we know that the product of 11 and a multiple of 101 is a number in which every digit is the same. 




All vegetables are purple .Lettuce is a vegetable, so we know that lettuce is purple




All human beings will soon die. Clark is a human being. Therefore, Clark will soon die




A number is “neat” number if the sum of the cubes of its digits equals the number .Therefore, 153 is a “neat” number​

Answer 1

The first statement "Since 11 x (1)(101) = 1111, 11 x (2)(101) = 2222, 11 x (3)(101) = 3333, 11 x (4)(101) = 4444, 11 x (5)(101) = 5555,

• We know that the product of 11 and a multiple of 101 is a number in which every digit is the same" is an example of inductive reasoning. Inductive reasoning is a method of reasoning in which the premises are viewed as supplying some evidence, but not full assurance, of the truth of the conclusion. Here, the statement is based on specific examples, and the conclusion is that the product of 11 and a multiple of 101 will always be a number in which every digit is the same.

• The second statement "All vegetables are purple .Lettuce is a vegetable, so we know that lettuce is purple" is an example of deductive reasoning. Deductive reasoning is a method of reasoning in which the premises guarantee the truth of the conclusion. Here, the conclusion that lettuce is purple follows logically from the two premises: "All vegetables are purple" and "Lettuce is a vegetable."

• The third statement "All human beings will soon die. Clark is a human being. Therefore, Clark will soon die" is an example of deductive reasoning. The conclusion that Clark will soon die follows logically from the two premises: "All human beings will soon die" and "Clark is a human being."

• The fourth statement "A number is “neat” number if the sum of the cubes of its digits equals the number. Therefore, 153 is a “neat” number" is an example of deductive reasoning. The conclusion that 153 is a neat number follows logically from the premise "A number is “neat” number if the sum of the cubes of its digits equals the number."

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Answer 2

Answer:

Given below is the answer

Explanation:

"Since 11 x (1)(101) = 1111, 11 x (2)(101) = 2222, 11 x (3)(101) = 3333, 11 x (4)(101) = 4444, 11 x (5)(101) = 5555. The given statement is an assertion statement

It is common knowledge that the sum of 11 and any multiple of 101 results in a number in which each digit is identical to the others "is an example of the kind of reasoning known as induction. Inductive reasoning is a kind of deductive reasoning in which the premises are considered as providing some proof, but not complete assurance, of the validity of the conclusion. This type of reasoning is also known as the "two-step" style of deductive reasoning. The assertion in this passage is supported by concrete examples, and the result is that the product of 11 plus a multiple of 101 will always yield a number in which each digit is the identical.

The second assertion is as follows: "All veggies are purple .

Since lettuce is a kind of vegetable, we know that it is the colour purple "is an example of reasoning that is deductive. The premises in deductive reasoning ensure that the conclusion is true, hence this kind of reasoning is referred to as "proof by premises." Since lettuce is a vegetable and all vegetables are purple, the conclusion that lettuce is also purple is a logical conclusion that can be drawn from the two premises: "All vegetables are purple," and "Lettuce is a vegetable."

The final assertion is as follows: "All human beings will shortly perish. Clark is a living, breathing human being. As a result, Clark will pass away very soon "is an example of reasoning that is deductive. Given the two premises that "all human beings will soon die" and "Clark is a human being," the conclusion that Clark will soon pass away is a logical conclusion that follows from the two premises.

The fourth point is as follows: "When the sum of the cubes of a number's digits is equal to the number itself, we say that the number is "neat." As a result, the number 153 is a "nice" number "is an example of reasoning that is deductive. The logical continuation of the statement "A number is said to be "neat" if the sum of the cubes of its digits matches the number" leads one to the conclusion that 153 is a "neat" number.

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