Definitions of Logic
What do we call an if-then statement?
Conditional Statement
Write the number that comes next:
1, 2, 3, 4, ____
5
Write the converse of the following:
"If a number is even, then it is divisible by 2."
If a number is divisible by 2, then it is even."
Give the conclusion using law of detachment.
1. If today is Friday, then we don't have school tomorrow.
2. Today is Friday.
We don't have school tomorrow.
What type or class of animal is an axolotl?
What must a sentence have to be a statement?
Truth Value
Write down the number that comes next:
5, 20, 80, ___
320
Write the biconditional of the following statement:
"If a number is even, then it is divisible by 2."
A number is even if and only if it is divisible by 2.
Give the conclusion using the law of syllogism.
1. If x = 3, then 2x = 6
2. If 4x = 12, then x = 3
If 4x = 12, then 2x = 6
What popular video game introduced axolotls in 2020?
Minecraft
What are the two types of reasoning we learned?
Deduction and Induction
Write down the number that comes next:
7, 7/2, 7/4, ____
7/8
Write a counterexample for the following statement:
If a number is positive, then it is greater than or equal to 1.
Any fraction less than 1
Write a conjecture about the product of an odd and even number with two examples.
The product of an odd and even number is always even.
What country are axolotls primarily from?
Mexico
We defined logic as the art of what?
Right Reasoning
Write down the number that comes next:
1, 1 1/2, 1 3/4, 1 7/8, ___
1 15/16
Write the converse, inverse, and contrapositive of the following statement. Determine the truth value for each.
"If an angle's measure is 34, then it is an acute angle.
Converse: If an angle is acute, then its measure is 34 degrees. - False
Inverse: If angle's measure is not 34 degrees, then it is not acute. - False
Contra: If an angle is not acute, then its measure is not 34 degrees. - True
Complete the proof with the desired conclusion: "I am going to pass the test."
1. If I study for the test, then I will be prepared.
2. I will study for the test
3. If I will be prepared, then I am going to pass the test.
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