Write the statement in symbols using the p and q given below. Then construct a truth table for the symbolic statement and select the best match.
p = I eat too much
q = I'll exercise.
I'll exercise if I eat too much.
See response at:
http://www.jiskha.com/display.cgi?id=1312119930#1312119930.1312120517
is this correct??
p->q
p q p->q
T T T
T F F
F T T
F F T
Correct!
Keep up the good work!
great! thanks!
To write the statement using the given variables p and q, we can use the conditional operator "->" to express the relationship between p and q. Using this operator, the symbolic statement becomes:
p -> q
Now, let's construct a truth table to illustrate the different combinations of truth values for p and q:
| p | q | p -> q |
|-------|-------|----------|
| True | True | True |
| True | False | False |
| False | True | True |
| False | False | True |
In this truth table, p and q represent the values "I eat too much" and "I'll exercise", respectively. The final column represents the truth value of the statement p -> q. It indicates that when p is true and q is true, the statement is true. When p is true and q is false, the statement is false. However, when p is false, regardless of the value of q, the statement is true.
Based on this truth table, the best match for the statement "I'll exercise if I eat too much" is when p -> q is true, which occurs when p is false and q can be either true or false.