I. Classify the rcasoning employed in the following arguments as INDUCTIVE (I) or DEDUCTIVE (D). 1. All even numbers are divisible by 2. Twenty-eight is even. Therefore, 28 is divisible by 2. 2. In the sequence 3, 6, 9, 12, 15, the next term is going to be 18. 3. Since all squares are rectangles, and all rectangles have four sides, all squares have four sides. 4. For any right triangle, the Pythagorean Theorem holds. ABC is a right triangle, therefore for ABC the Pythagorean Theorem holds. 5. The population of Iloilo City has increased steadily for the past 20 years. It is logical to predict that the population of Illoilo City will also increase next year. 6. Two figures are said to be congruent if they have the same shape and size or if one has the same shape and size as the mirror image of the other. My figure is the mirror image of my mirror image, therefore my figure and my mirror image are congruent. 7. If x = 4 and if y = 1, then 2x+ y = 9. 8. Based on a survey of 3300 randomly selected registered voters, 56.2% indicate that they will vote for the incumbent officials in the upcoming election. Therefore, approximately 56% of the votes in the upcoming elections will be for the incumbent. 9. Jack is taller than Jill. Jill is taller than Joey. Therefore, Jack is taller than Joey. 10. It usually takes 2-3 days for a delivery to ship from warehouse to your door via most popular shipping services. You ordered on Tuesday morning, so it's safe to assume that your package will arrive on Thursday or Friday.
I. Classify the rcasoning employed in the following arguments as INDUCTIVE (I) or DEDUCTIVE (D). 1. All even numbers are divisible by 2. Twenty-eight is even. Therefore, 28 is divisible by 2. 2. In the sequence 3, 6, 9, 12, 15, the next term is going to be 18. 3. Since all squares are rectangles, and all rectangles have four sides, all squares have four sides. 4. For any right triangle, the Pythagorean Theorem holds. ABC is a right triangle, therefore for ABC the Pythagorean Theorem holds. 5. The population of Iloilo City has increased steadily for the past 20 years. It is logical to predict that the population of Illoilo City will also increase next year. 6. Two figures are said to be congruent if they have the same shape and size or if one has the same shape and size as the mirror image of the other. My figure is the mirror image of my mirror image, therefore my figure and my mirror image are congruent. 7. If x = 4 and if y = 1, then 2x+ y = 9. 8. Based on a survey of 3300 randomly selected registered voters, 56.2% indicate that they will vote for the incumbent officials in the upcoming election. Therefore, approximately 56% of the votes in the upcoming elections will be for the incumbent. 9. Jack is taller than Jill. Jill is taller than Joey. Therefore, Jack is taller than Joey. 10. It usually takes 2-3 days for a delivery to ship from warehouse to your door via most popular shipping services. You ordered on Tuesday morning, so it's safe to assume that your package will arrive on Thursday or Friday.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:I. Classify the recasoning employed in the following arguments as INDUCTIVE (I) or
DEDUCTIVE (D).
1. All even numbers are divisible by 2. Twenty-eight is even. Therefore, 28 is divisible
by 2.
2. In the sequence 3, 6, 9, 12, 15,
the next term is going to be 18.
3. Since all squares are rectangles, and all rectangles have four sides, all squares have
four sides.
4. For any right triangle, the Pythagorean Theorem holds. ABC is a right triangle,
therefore for ABC the Pythagorean Theorem holds.
5. The population of Iloilo City has increased steadily for the past 20 years. It is logical
to predict that the population of Iloilo City will also increase next year.
6. Two figures are said to be congruent if they have the same shape and size or if one
has the same shape and size as the mirror image of the other. My figure is the mirror
image of my mirror image, therefore my figure and my mirror image are congruent.
7. If x = 4 and if y =1, then 2x+ y =9.
8. Based on a survey of 3300 randomly selected registered voters, 56.2% indicate that
they will vote for the incumbent officials in the upcoming election. Therefore,
approximately 56% of the votes in the upcoming elections will be for the incumbent.
9. Jack is taller than Jill. Jill is taller than Joey. Therefore, Jack is taller than Joey.
10. It usually takes 2-3 days for a delivery to ship from warehouse to your door via most
popular shipping services. You ordered on Tuesday morning, so it's safe to assume
that your package will arrive on Thursday or Friday.
11. In the last 12 months, Vaness has harvested roses in her garden every two months.
Last month and this month, she did not harvest from her garden so her garden of
roses will bloom again next month.
12. All home renovations cost more than the estimated amount. Engr. Subigca has
estimated that the cost that he will spend in renovating their house is P100,000. Thus,
he concluded that it will cost him more than P100,000 to renovate their house.
13. All shows of ABS-CBN are worth watching.
Luna Sangre is a teleserye in ABS-CBN.
Hence, La Luna Sangre is worth watching.
14. All polygons are closed figure. An octagon is a polygon. Hence, an octagon is a
closed figure.
15. Angela has won in the Math Wizard contest for five consecutive years. Thus Angela
will win again in the contest this year.
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