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3. Let B=(2,4,6,8,10), C=(4,8, 10), and D= (xxis even). Answer the following questions. Explain (a) Is DCH? (b) Is CCD? (c) CCB? (d) Is B is a proper subset of D? 4. (a) Is ((-1)2,12)=(1².(-1)²)? Explain. (b) Is IsVT6,-)-(4-7 Explain.

3. Let B=(2,4,6,8,10), C=(4,8, 10), and D= (xxis even). Answer the following questions. Explain (a) Is DCH? (b) Is CCD? (c) CCB? (d) Is B is a proper subset of D? 4. (a) Is ((-1)2,12)=(1².(-1)²)? Explain. (b) Is IsVT6,-)-(4-7 Explain.

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 4SE: Answer the following questions. 4. Describe how the permutation of ii objects differs from the...
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3. Let R= (2,4,6,8,110), C= (4,8, 10), and D= (x|xis even). Answer the following questions. Explain (a) Is DC R? (b) Is CC D? (c) CC R? (d) Is R is a proper subset of D? 4. (a) Is (-1)7, 12)= (1,(-1)*)? Explain. (b) Is (VT6.= (4. Explain.
Transcribed Image Text:3. Let R= (2,4,6,8,110), C= (4,8, 10), and D= (x|xis even). Answer the following questions. Explain (a) Is DC R? (b) Is CC D? (c) CC R? (d) Is R is a proper subset of D? 4. (a) Is (-1)7, 12)= (1,(-1)*)? Explain. (b) Is (VT6.= (4. Explain.
3.2 Exercise 3 1. Determine wether the argument is an example of inductive reasoning and deductive reasuning. (a) All pentagons have exactly five sides. Figure A is a peantagon. Therefore, Figure A has exactly five sides. (b) A number is a neat number if the sum of the cubes of its digits equals the number. Therefore, 153 is neat number. (c) Emma enjoyed reading novel Finders Keepers by Stephen King, so she will enjoy reading his next novel. (d) Every English setter like to hunt. Duke is an English setter, so Duke likes to hunt. 2. Find a number that provides a counterex ample to show that the given statement is false. 26 (a) For all numbers x, x>- (b) For all numbers x, x+x >x. (c) For all numbers x, -x <x. (x+1)(x- 1) (x-1) (d) For all numbers x,- 3. Each of four siblings (Rudy, Leni, Sara, and Bongbong) is given $5000 to invest in the stock market. Each chooses a different stock. One chooses a utility stock, another automotive stock, another technology stock, and the other an oil stock. From the following clues, determine which siblings bought wich stock. (a) Rudy and the owner of the utility stock purchased their shares through an online brokerage, whereas Leni, and the owner of the automotive stock did not. (b) The gain in value of Sara's stock is twice the gain in value of the automotive stock. (c) The technology stock is traded on NASDAQ whereas the stock that Leni bought is traded on the New York Stock Exchange.
Transcribed Image Text:3.2 Exercise 3 1. Determine wether the argument is an example of inductive reasoning and deductive reasuning. (a) All pentagons have exactly five sides. Figure A is a peantagon. Therefore, Figure A has exactly five sides. (b) A number is a neat number if the sum of the cubes of its digits equals the number. Therefore, 153 is neat number. (c) Emma enjoyed reading novel Finders Keepers by Stephen King, so she will enjoy reading his next novel. (d) Every English setter like to hunt. Duke is an English setter, so Duke likes to hunt. 2. Find a number that provides a counterex ample to show that the given statement is false. 26 (a) For all numbers x, x>- (b) For all numbers x, x+x >x. (c) For all numbers x, -x <x. (x+1)(x- 1) (x-1) (d) For all numbers x,- 3. Each of four siblings (Rudy, Leni, Sara, and Bongbong) is given $5000 to invest in the stock market. Each chooses a different stock. One chooses a utility stock, another automotive stock, another technology stock, and the other an oil stock. From the following clues, determine which siblings bought wich stock. (a) Rudy and the owner of the utility stock purchased their shares through an online brokerage, whereas Leni, and the owner of the automotive stock did not. (b) The gain in value of Sara's stock is twice the gain in value of the automotive stock. (c) The technology stock is traded on NASDAQ whereas the stock that Leni bought is traded on the New York Stock Exchange.
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