Inductive Reasoning
-10 0 10 20 __ __ __ __
30 40 50 60
A Venn Diagram with a circle in a circle represents what words?
All, Always, Every
Given: 64=2(x+10)+10 prove: x=17
What is the first statement?
Given
What is a Statement?
A sentence that is either true or false
What is a Conditional statement?
A statement that can be written in "if-then" form
128 120 112 104 __ __ __ __
96 88 80 72
A standard two circle Venn Diagram represents what words?
Some, Sometimes
Given: 64=2(x+10)+10 prove: x=17
64=2(x+10)+10 Given
64=(2x+20)+10 ?
What comes after the Given?
Distributive Property
What is a negation?
What is the Hypothesis?
The phrase immediately following the word "if"
5 50 500 5000 _____ _____ _____ _____
50000 500000 5000000 50000000
Never, No, None
Given: 64=2(x+10)+10 prove: x=17
64=2(x+10)+10 Given
64=(2x+20)+10 Distributive Property
64=2x+30 ?
What comes after Distributive property?
Addition Property
What is a Conjunction?
Joined by the word "And"
What is the Conclusion?
The phrase immediately following the word "then"
256 128 64 32 __ __ __ __
16 8 4 2
What type of Venn Diagram would be used for this phrase?
Given: 64=2(x+10)+10 prove: x=17
64=2(x+10)+10 Given
64=(2x+20)+10 Distributive Property
64=2x+30 Addition Property
34=2x ?
What comes after Addition Property?
What is a Disjunction?
Joined by the word "Or"
If Germany invades France again, then there will be another World War.
What is the Hypothesis?
"Germany invades France again"
-10 -24 -38 -52 __ __ __ __
-66 -80 -94 -108
People who don't do exercise are sometimes unhealthy.
What about the first part of the phrase is different?
It is a negation, or the opposite (negative) of what would be the "positive".
17=x
What property do you use in this situation?
There is a dozen sized cartridge of eggs, and 12 egg slots in the cartridge.
Is there a Conjunction or a Disjunction, and what is it?
Conjunction, it is the word "and"
If Germany invades France again, then there will be another World War.
What is the Conclusion?
"There will be another World War"