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Activity 4: I. Construct a Venn diagram to verify the validity of the given argument. 1. All squares are rectangles. Some quadrilaterals are squares. Therefore, some quadrilaterals are rectangles.

Activity 4: I. Construct a Venn diagram to verify the validity of the given argument. 1. All squares are rectangles. Some quadrilaterals are squares. Therefore, some quadrilaterals are rectangles.

Advanced Engineering Mathematics
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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Activity 4: I. Construct a Venn diagram to verify the validity of the given argument. 1. All squares are rectangles. Some quadrilaterals are squares. Therefore, some quadrilaterals are rectangles. 2. Some women are police officers. Some police officers ride motorcycles. Therefore, some women ride motorcycles. 3. All Olympic gold medal winners are role models. Hidilyn Diaz is a role model. Therefore, Hidilyn Diaz is an Olympic gold medal winner. 4. No professor is a millionaire. No millionaire is sick. Therefore, no professor is sick. 5. All Filipino photographers are artists. Geloy Concepcion is a Filipino photographer. Therefore, Geloy Concepcion is an artist. 6. All smiling cats talk. The Cheshire cat smiles. Therefore, the Cheshire cat talks. 7. All forest rangers are environmentalists. All forest rangers are storytellers. Therefore, all environmentalists are storytellers. 8. All homeless people are unemployed. Bill Gates is not unemployed. Therefore, Bill Gates is not a homeless person.
Transcribed Image Text:Activity 4: I. Construct a Venn diagram to verify the validity of the given argument. 1. All squares are rectangles. Some quadrilaterals are squares. Therefore, some quadrilaterals are rectangles. 2. Some women are police officers. Some police officers ride motorcycles. Therefore, some women ride motorcycles. 3. All Olympic gold medal winners are role models. Hidilyn Diaz is a role model. Therefore, Hidilyn Diaz is an Olympic gold medal winner. 4. No professor is a millionaire. No millionaire is sick. Therefore, no professor is sick. 5. All Filipino photographers are artists. Geloy Concepcion is a Filipino photographer. Therefore, Geloy Concepcion is an artist. 6. All smiling cats talk. The Cheshire cat smiles. Therefore, the Cheshire cat talks. 7. All forest rangers are environmentalists. All forest rangers are storytellers. Therefore, all environmentalists are storytellers. 8. All homeless people are unemployed. Bill Gates is not unemployed. Therefore, Bill Gates is not a homeless person.
9. All pesticides are harmful to the environment. No fertilizer is a pesticide. Therefore, no fertilizer is harmful to the environment. 10. Some professors wear glasses. Mr. Einstein wears glasses. Therefore, Mr. Einstein is a professor. II. Fill in the blanks with what are most likely to be the next letters. Explain (using complete sentences) the pattern generated by your answers. 1. O, T, T, F, 2. T, F, S, E, 3. F, S, S, M, 4. J, F, M, A, 5. A, F, L, S, III. Classify and explain (in at most 3 sentences) why each argument is deductive or inductive. Write D if it is a deductive argument and I if it is an inductive argument. Write the general and specific statements in the following arguments 1. My television set did not work two nights ago. My television set did not work last night. Therefore, my television set is broken. 2. All electronic devices give their owners grief. My television set is an electronic device. Therefore, my television set gives me grief. 3. I ate a chili dog at Chey's and got indigestion. I ate a chili dog at Jake's and got indigestion. Therefore, chili dogs give me indigestion. 4. All spicy foods give me indigestion. Chili dogs are spicy food. Therefore, chili dogs give me indigestion. 5. The population of Tarlac City has risen steadily for the past 30 years. It is logical to predict that the population of Tarlac City will rise next year.
Transcribed Image Text:9. All pesticides are harmful to the environment. No fertilizer is a pesticide. Therefore, no fertilizer is harmful to the environment. 10. Some professors wear glasses. Mr. Einstein wears glasses. Therefore, Mr. Einstein is a professor. II. Fill in the blanks with what are most likely to be the next letters. Explain (using complete sentences) the pattern generated by your answers. 1. O, T, T, F, 2. T, F, S, E, 3. F, S, S, M, 4. J, F, M, A, 5. A, F, L, S, III. Classify and explain (in at most 3 sentences) why each argument is deductive or inductive. Write D if it is a deductive argument and I if it is an inductive argument. Write the general and specific statements in the following arguments 1. My television set did not work two nights ago. My television set did not work last night. Therefore, my television set is broken. 2. All electronic devices give their owners grief. My television set is an electronic device. Therefore, my television set gives me grief. 3. I ate a chili dog at Chey's and got indigestion. I ate a chili dog at Jake's and got indigestion. Therefore, chili dogs give me indigestion. 4. All spicy foods give me indigestion. Chili dogs are spicy food. Therefore, chili dogs give me indigestion. 5. The population of Tarlac City has risen steadily for the past 30 years. It is logical to predict that the population of Tarlac City will rise next year.
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