RGeom2.2_SymbolsVenn.notebook
September 29, 2016
Other symbols to know . . .
if, then
and
if and only if
iff
therefore
~
not
or
Symbolic notation for Conditional Statements
where p represent hypothesis and q represents conclusion
Conditional Statement
If hypothesis, then
conclusion
Converse
If conclusion,
then hypothesis
Inverse
If not hypothesis,
then not conclusion
Contrapositive
If not conclusion, then
not hypothesis
Biconditional
Hypothesis if and only
if (iff) conclusion
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RGeom2.2_SymbolsVenn.notebook
September 29, 2016
The following events are described as follows.
X: It is Friday
Y: There is a football game
Z: I have homework
Use to translate the written statements into symbolic form.
a)
I have homework and there is a football game.
b)
If it is not Friday, then I do have homework.
c)
There is a football game if and only if it is Friday.
d)
If it is Friday, then there is a football game and I do not have homework.
X: It is Friday
Y: There is a football game
Z: I have homework
Translate the symbolic form into a written statement.
e)
f)
g)
2
RGeom2.2_SymbolsVenn.notebook
September 29, 2016
Homework:
pg. 93: 1-4 (all)
pg. 95: 1-5 (all)
3
RGeom2.2_SymbolsVenn.notebook
35
September 29, 2016
18
Sort the numbers in venn diagram.
80
20
102
40
32
42
30
24
48
15
4
RGeom2.2_SymbolsVenn.notebook
September 29, 2016
Draw a diagram for each of the following cases.
Sets P and Q have no
Some elements in P are also in Q,
elements in common
and some elements of Q are in P.
Shade in the area of the Venn diagram that represents each statement.
5
RGeom2.2_SymbolsVenn.notebook
September 29, 2016
Draw a diagram for each of the following cases.
Sets P and Q have no
Some elements in P are also in Q,
elements in common
and some elements of Q are in P.
Shade in the area of the Venn diagram that represents each statement.
6
RGeom2.2_SymbolsVenn.notebook
September 29, 2016
In the following Venn Diagram
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RGeom2.2_SymbolsVenn.notebook
September 29, 2016
In the following Venn Diagram
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RGeom2.2_SymbolsVenn.notebook
September 29, 2016
One more example: (Add to back of the notes)
Draw and label the venn diagram for this situation:
The senior class at YHS has 300 students. 164 of them participate in a sport, 105 of them play a musical instrument. 58 participate in a sport and play a musical instrument. 9
RGeom2.2_SymbolsVenn.notebook
September 29, 2016
Homework -p. 82 #19-21, 31, 32, 39
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