True or False: The following statement is a proposition: Bang the drum slowly. True False Determine whether this biconditional is true or false: 1 + 1 = 2 if and only if 2 + 3 = 4 True False Select...

1. True or False: The following statement is a proposition: Bang the drum slowly.
   
   
   
   1. True
   
   
   2. False
   
   
   
   

1. Determine whether this biconditional is true or false:

1 + 1 = 2 if and only if 2 + 3 = 4

1. True


2. False

1. Select the contrapositive of: If it snows tonight, then I will stay at home.
   
   
   
   1. If I stay at home, then it will snow tonight.
   
   
   2. If I do not stay at home, then it will not snow tonight.
   
   
   3. If it does not snow tonight, then I will not stay at home.
   
   
   4. none of the above
   
   
   
   

1. True or False: If then
   
   
   
   1. True
   
   
   2. False
   
   
   
   

1. True or False:
   
   
   
   1. True
   
   
   2. False
   
   
   
   

1. Select the correct interpretations (may be more than one) of the notation
   
   
   
   1. 
      P(x)
      is true for all
      x
      
   
   
   2. 
      P(x)
      is true for at least one
      x
      
   
   
   3. There is no
      x
      for which
      P(x)
      is true
   
   
   4. There is an
      x
      such that
      P(x)
      is true
   
   
   
   

1. Let
   Q(x)
   be the statement "x +
   1 > 2x." If the universe consists of all integers, what is the truth value of?
   
   
   
   1. True
   
   
   2. False
   
   
   
   

1. Let
   Q(x)
   be the statement, "x +
   1
   >
   2x." If the universe consists of all integers, what is the truth value of ?
   
   
   
   1. True
   
   
   2. False
   
   
   
   

1. True or False?
   f
   is a function from
   Z
   to
   R
   if
   
   
   
   1. True
   
   
   2. False
   
   
   
   

1. Let
   f(x) = 2x.
   What is
   f(Z)?
   
   
   
   1. Set of all integers
   
   
   2. Set of positive even integers
   
   
   3. Set of even integers
   
   
   4. Set of real numbers
   
   
   
   

MAT 230 Quiz 1 MAT 230 Week 1 1. True or False: The following statement is a proposition: Bang the drum slowly. a. True b. False 2. Determine whether this biconditional is true or false: 1 + 1 = 2 if and only if 2 + 3 = 4 a. True b. False 3. Select the contrapositive of: If it snows tonight, then I will stay at home. a. If I stay at home, then it will snow tonight. b. If I do not stay at home, then it will not snow tonight. c. If it does not snow tonight, then I will not stay at home. d. none of the above 4. True or False: If q p ® then a. True b. False 5. True or False: q q p p Ø º ® Ø )) ( ^ ( a. True b. False 6. Select the correct interpretations (may be more than one) of the notation ) ( x xP $ a. P(x) is true for all x b. P(x) is true for at least one x c. There is no x for which P(x) is true d. There is an x such that P(x) is true 7. Let Q(x) be the statement "x + 1 > 2x." If the universe consists of all integers, what is the truth value of ) ( x xQ $ ? a. True b. False 8. Let Q(x) be the statement, "x + 1 > 2x." If the universe consists of all integers, what is the truth value of ) ( x xQ " ? a. True b. False 9. True or False? f is a function from Z to R if 1 ) ( 2 + = n n f a. True b. False 10. Let f(x) = 2x. What is f(Z)? a. Set of all integers b. Set of positive even integers c. Set of even integers d. Set of real numbers _1388739493.unknown _1388740860.unknown _1389537862.unknown _1388739863.unknown _1388739933.unknown _1388739743.unknown _1388739458.unknown