21 questions
Given the conditional statement;
"If I am hungry, then I eat."
Which of the following is the inverse?
If I eat, then I am hungry.
If I don't eat then I am not hungry
If I am not hungry, then I don't eat.
If I am not hungry, then I eat.
Given the conditional statement;
"If it is Wednesday, then Jane doesn't have baseball practice."
What is the hypothesis of this statement.
It is Wednesday
Jane doesn't have baseball practice
If it is Wednesday
Then Jane doesn't have baseball practice
Given the conditional statement;
"If Max gets good grade, then he won't be grounded"
Which of the following is the contrapositive?
If Max isn't grounded then he gets good grades.
If Max doesn't get good grade then he will be grounded.
If Max gets grounded then he doesn't get good grades.
If Max gets good grades, the he will get grounded.
Given the conditional;
"If Jose eats fish, then he has an allergic reaction"
Which of the following is the converse?
None of these
If Jose doesn't have an allergic reaction, then he didn't eat fish.
If Jose doesn't eat fish, then he doesn't have an allergic reaction.
If Jose has an allergic reaction, then he ate fish.
Given the conditional;
"If Destiny goes to work tonight, then she will make money"
What is the conclusion?
Destiny goes to work tonight
Destiny doesn't go to work
She will make money
then she will make money
Given the conditional;
"If Ty'Shawn is late then he will get a tardy"
What is the inverse?
If Ty'Shawn is on time, then we won't get a tardy.
If Ty'Shawn gets a tardy, then he is late.
If Ty'Shawn is late then he won't get a tardy.
If Ty'Shawn doesn't get a tardy, then he is on time.
Given the conditional;
"If it snows then school will be closed"
Which is the inverse?
If school is open, then it didn't snow.
If school is closed, then it snowed.
If it doesn't snow, then school will be open.
Let it Snow!
Given the conditional;
"If our class earns ten trucks, then we get a treat."
What is the contrapositive?
If our class doesn't earn ten trucks then we don't get a treat.
If our class doesn't get a treat, then we didn't earn ten trucks.
If out class earns ten trucks then we don't get a treat.
Trucks!
Which is a counterexample to the following statement?
If an angle is obtuse, then it is .
To fully disprove a conjecture, one needs to find only ONE counterexample.
True
False
What is the next term in the sequence?
1, 1, 2, 3, 5, 8, 13, ...
15
21
19
17
Which of the following is the basis for inductive reasoning?
definitions and accepted properties
facts and rules
laws of logic
observed patterns
What does deductive reasoning use to form its arguments?
patterns
specific cases
observed examples
facts, definitions, accepted properties, and laws of logic
How would you describe the Law of Syllogism symbolically?
if p -> q is true and q is true, then p is true.
if p -> q is true and p is true, then q is true.
if p -> q is true and q -> r is true, then p -> r is true
Use the Law of Syllogism to write a new conditional statement that follows from the pair of true statements, if possible.
If a figure is a rhombus, then the figure is a parallelogram. If a figure is a parallelogram, then the figure is a quadrilateral.
If a figure is a rhombus, then the figure is a quadrilateral.
If a figure is a quadrilateral, then the figure is a rhombus.
Not possible
If the school cafeteria sells pizza today, Greg is going to eat four pieces. Pizza is on sale for school lunch today.
Using deductive reasoning, what statement can you make based on this information?
Lots of people will buy pizza.
The school cafeteria sells pizza.
Greg will eat four pieces of pizza.
Greg needs to go on a diet.