Write the negation of the following statement. 1. All birds can fly. 2. None of the students took my advice. 3. Classic movies were in black and white. Evaluate the following statements using truth tables. 1. (p v ~ q ) → ~(p→q) 2. -(~p+~ q) A ~ (p → ~ q) 3. -p+ (p → ~q).

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Solve the following using George Polya's problem-solving method.
1. Elsa made $374 for 17 hours of work. At the same rate, how much would she make in $ for 7 hours of work>
2. The sum of two numbers is 47. The larger number is 15 more than the smaller number. Find the larger number.
3. In a group of students, 33% likes to go shopping, 74% loves just to stay at home during vacation, while 21% chooses
both. What percentage does not like either shopping or staying at home?
Write the negation of the following statement.
1. All birds can fly.
2. None of the students took my advice.
3. Classic movies were in black and white.
Evaluate the following statements using truth tables.
1. (p v ~ q ) →~(p→q)
2. -(~p+~q) ^~ (p → ~ q)
3. -p+ (p → ~ q)
Identify whether the statements are valid or not. Write V for valid and INV for invalid.
1. p: All babies are wonderful gifts to parents.
q: Some boys are babies.
r: Madara is a boy.
Therefore, Madara is a wonderful gift to her parents
2. p: Šome delivered items are damaged.
q: Some delivered items are from Lazada.
r: Iphone 12 mini is damaged.
Therefore, Iphone 12 minis is from Lazada
Write the equivalent statement of the following statements
1. If this book is interesting, then I am staying at home.
2. All universities are institutions.
Transcribed Image Text:Solve the following using George Polya's problem-solving method. 1. Elsa made $374 for 17 hours of work. At the same rate, how much would she make in $ for 7 hours of work> 2. The sum of two numbers is 47. The larger number is 15 more than the smaller number. Find the larger number. 3. In a group of students, 33% likes to go shopping, 74% loves just to stay at home during vacation, while 21% chooses both. What percentage does not like either shopping or staying at home? Write the negation of the following statement. 1. All birds can fly. 2. None of the students took my advice. 3. Classic movies were in black and white. Evaluate the following statements using truth tables. 1. (p v ~ q ) →~(p→q) 2. -(~p+~q) ^~ (p → ~ q) 3. -p+ (p → ~ q) Identify whether the statements are valid or not. Write V for valid and INV for invalid. 1. p: All babies are wonderful gifts to parents. q: Some boys are babies. r: Madara is a boy. Therefore, Madara is a wonderful gift to her parents 2. p: Šome delivered items are damaged. q: Some delivered items are from Lazada. r: Iphone 12 mini is damaged. Therefore, Iphone 12 minis is from Lazada Write the equivalent statement of the following statements 1. If this book is interesting, then I am staying at home. 2. All universities are institutions.
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