Biconditional Statements -TEST

1.

Given:

a: y - 6 = 9

b: y = 15

Problem:

The biconditional a
https://www.mathgoodies.com/sites/all/modules/custom/lessons/images/symbolic_logic/images/biconditi
onal_transp.gif b represents which of the following sentences?


                                           Začátek formuláře

  (_) If y - 6 = 9, then y = 15.
  (_) y - 6 = 9 if and only if y = 15.
  (_) If y = 15, then y - 6 = 9.
  (_) None of the above.

  RESULTS BOX:
  _____________________________________________

                                            Konec formuláře


2.

Given:

r: 11 is prime.

s: 11 is odd.

Problem:

The biconditional r
https://www.mathgoodies.com/sites/all/modules/custom/lessons/images/symbolic_logic/images/biconditi
onal_transp.gif s represents which of the following sentences?


                                           Začátek formuláře

  (_) If 11 is prime, then 11 is odd.
  (_) If 11 is odd, then 11 is prime.
  (_) 11 is prime iff 11 is odd.
  (_) None of the above.

  RESULTS BOX:
  _____________________________________________

                                            Konec formuláře


3.

Given:

x
https://www.mathgoodies.com/sites/all/modules/custom/lessons/images/symbolic_logic/images/condition
al_transp.gif y

y
https://www.mathgoodies.com/sites/all/modules/custom/lessons/images/symbolic_logic/images/condition
al_transp.gif x

Problem:

If both of these statements are true then which of the following must also true?


                                         Začátek formuláře

(_) (x
https://www.mathgoodies.com/sites/all/modules/custom/lessons/images/symbolic_logic/images/condition
al_transp.gif y)
https://www.mathgoodies.com/sites/all/modules/custom/lessons/images/symbolic_logic/images/and.gif
(y
https://www.mathgoodies.com/sites/all/modules/custom/lessons/images/symbolic_logic/images/condition
al_transp.gif x)
(_) x
https://www.mathgoodies.com/sites/all/modules/custom/lessons/images/symbolic_logic/images/biconditi
onal_transp.gif y
(_) x iff y
(_) All of the above.

RESULTS BOX:
_____________________________________________

                                          Konec formuláře


4.

Given:

m
https://www.mathgoodies.com/sites/all/modules/custom/lessons/images/symbolic_logic/images/biconditi
onal_transp.gif n is biconditional

Problem:

Which of the following is a true statement?


                                         Začátek formuláře

(_) m is the hypothesis
(_) m is the conclusion
(_) n is a conditional statement
(_) n is a biconditional statement

RESULTS BOX:
_____________________________________________

                                          Konec formuláře


5.

  Which of the following statements is biconditional?


                                           Začátek formuláře

  (_) I am sleeping if and only if I am snoring.
  (_) Mary will eat pudding today if and only if it is custard.
  (_) It is raining if and only if it is cloudy.
  (_) None of the above.

  RESULTS BOX:
  _____________________________________________

                                            Konec formuláře