Geo: HW: #15 1-19, LOGIC TEST on THURSDAY
Global: study for 50 multiple choice question test tomorrow (Enlightened thinkers and French Revolution)
Eng: Read article and write a one paragraph response to it.
Es: Read Planet Earth packet p. 14-15 and complete questionsn 1-14
LOGIC MADE EASIER
A conditional statement is a statement that can be expressed in "if...then..." form.
* Hypothesis: This is the part of the sentence that follows the word "If..."
* Conclusion: This is the part of the sentence that follows the word "then..."
It may be necessary when working with conditional statements to rewrite the sentence so that it is in "If...then..." form.
Example:
"All surfers like big waves."
"If you are a surfer, then you like big waves."
Putting a sentence in "If...then..." form before beginning your investigation of a conditional statement will make your work easier.
The converse of a conditional statement is formed by SWITCHING the hypothesis and conclusion of the original statement, with the words "if" and "then" fixed.
Example:
Conditional: "If the space shuttle was launched, then a cloud of smoke was seen."
Converse: "If a cloud of smoke was seen, then the space shuttle was launched."
It is important to note that the converse of a true/false conditional statement is NOT necessarily true/false as the original statement.
The inverse of a conditional statement is formed by negating the hypothesis and negating the conclusion of the original statement.
Example:
Conditional: "If you grew up in Alaska, then you have seen snow."
Inverse: "If you did not grow up in Alaska, then you have not seen snow."
It is important to note that the inverse of a true/false conditional statement is NOT necessarily true/false as the original statement.
The contrapositive of a conditional statement is formed by negating both the hypothesis and the conclusion, and SWITCHING the resulting negations. In other words, it does BOTH the jobs of the INVERSE and the CONVERSE.
Example:
Conditional: "If 9 is an odd number, then 9 is divisible by 2."
Contrapositive: "If 9 is not divisible by 2, then 9 is not an odd number."
An important fact to note is that:
If the original statement is TRUE, the contrapositive is TRUE, and vice versa;
If the original statement is FALSE, the contrapositive is FALSE, and vice versa.
In this case, they are said to be logically equivalent.
