Applications of Logic
Here are a few practice problems!! Enjoy, and check your answers at the bottom of the page :-)
Translate each symbol into words:
Let P represent "I will take my umbrealla"
Let Q represent "It is raining"
A. -P
B. P^Q
C. P-->Q
D. P<-->Q
Convert each statement into symbols:
Let P represent "Chris collects videotapes"
Let Q represent "Jack is a shortstop"
E. Chris collects videotapes and Jack is a shortstop
F. Neither Chris collects viedotapes nor Jack is a shortstop
G. Jack is a shortstop if and only if Chris collects videotapes.
Complete the following table:
Negation
| p |
q |
-p |
-q |
| _ |
_ |
_ |
_ |
| _ |
_ |
_ |
_ |
| _ |
_ |
_ |
_ |
| _ |
_ |
_ |
_ |
ANSWERS
A. I will not take my umbrella
B. I will take my umbrella and it is raining
C. If I take my umbrella, then it is raining
D. I will take my umbrella if and only if it is raining
E. P^Q
F. -Pv-Q
G. Q<-->P
Table:
Negation
| p |
q |
-p |
-q |
| T |
T |
F |
F |
| T |
F |
F |
T |
| F |
T |
T |
F |
| F |
F |
T |
T |
Hope you enjoyed your mini-test!!
Logic Home Page
1) How to Use Logic Symbols
2) How to Use Truth Tables
3) How to Decipher Logic Statements
IB Home Page
Robinson Home Page
IB Math Studies Home Page
