Conditional
The conclusion of the following statement;
If it is hot outside then I will not want to go outside.
I will not want to go outside.
The converse of the following conditional:
p→q
q→p
The inverse of the following conditional
p→q
~p→~q
The contrapositive of the following statement
p→q
~q→~p
q→p is the _________ of the conditional statement
p→q
converse
The hypothesis of the following statement;
If I run outside, then I will get sweaty.
I run outside
The converse of the following conditional
~p→q
q→~p
The inverse of the following conditional
~p→q
p→~q
The contrapositive of the following statement
p→~q
q→~p
~p→q is the _________ of the conditional statement
p→~q
Inverse
P:It is Monday
Q:I go to school
Write as an if/then statement.
If it is Monday, then I go to school.
The converse of the following statement
If I don't go to the market, then I don't have any groceries.
If I don't have any groceries, then I didn't go to the market.
Which of the following is the inverse logically equivalent to?
1.Contrapositive
2.Conditional
3.Converse
3. Converse
Which of the following is the contrapositive logically equivalent to?
1.Inverse
2.Conditional
3.Converse
2.Conditional
"If I didn't make a mess, then I didn't make dinner"
is the _______ of the conditional statement
"If I made dinner, then I made a mess"
Contrapositive
P:I am hungry
Q:I will eat take-out
R:I will make food
Write as a conditional using if/then and OR
p → q v r
If I am hungry then I will eat take-out or I will make food.
Write the converse of the following conditional in statement form.
p→ q
P:It is 100 degrees outside
Q:I get sweaty when I go outside
If I get sweaty when I go outside, then it is 100 degrees outside.
The inverse of the following statement
If I am hungry, then I didn't have breakfast.
If I am not hungry then I had breakfast.
The contrapositive of the following statement
If I am sitting in the dark, then I can't read.
If I can read, then I am not sitting in the dark
"If I wake up late, then I missed the sunrise"
is the ________ of the conditional statement
"If I wake up early, then I watched the sunrise
Inverse
Write the following statement in symbolic form.
If I go to the mall and it is a Monday, then it won't be very busy.
p^q→r
Is the following statement a biconditional statement?
If not, provide a counter example.
If I like to go swimming, then I know how to swim.
No, I know how to swim but I dislike swimming.
Write the inverse of the following conditional in statement form.
p→q
p:I am not thirsty
q:I don't need to drink water
If I am thirsty, then I need to drink water.
P:I used sunscreen
Q:I got a sunburn
Write the contrapositive of the following conditional, in statement form.
p→~q
If I didn't get a sunburn, then I used sunscreen
q→~p is the contrapositive of a conditional statement.
What is the inverse of the conditional statement?
~p→q