September 27, =2. x={ -2,2}
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1 2. 1 1=2 x={ -2,2}
2 What is a conditional statement? An if - then statement
3 Conditional Statement
4 If 0you are not completely satisfied with your math education, then you can have your money back. - ^ hypothesis Conclusion
5 Write the following as conditional statements: / F a shape a) A rectangle has four right angles b) A tiger is an animal is a rectangle't has Yrt # angles. c) An integer that ends with a 0 is divisible by 5 d) A square has four congruent sides. If there Is a tiger, then it is an animal
6 Truthiness For a conditional to be true you must Show that If the hypothesis is true then the conclusion ALWAYS follows. Truth Value Whether a Statement is true or false Counterexample To show that a Conditional Is FALSE Show that the conclusion does NOT follow from the hyp. being met (only once - or more ) This example is known as a counterexample
7 has Determine the truth value or validity of the following statements. If false, provide a counterexample: If it is February, then there are only 28 days in the month In leap years False Feb. 29 days If the name of a state contains the word New, then the state borders an ocean. False Newmexico
8 Create a Venn Diagram for the following: If you live in Chicago, then you live in Illinois note : hypothesis Illinois is contained in the conclusion chicago TRUE
9 Create a Venn Diagram for the following: If something is a German Shepard, then it is a dog.
10 Converse Statement The converse of a conditional Switches the HYP. and CONC. - you may need to adoy change Words
11 Write the converse: If two lines intersect to form right angles, then they are perpendicular. If 2 lines are Perpendicular Then they intersect to form right angles If two lines are not parallel and they don t intersect, then they are skew. If 2 lines are Skew, then they are not and they don't intersect
12 Find the converses of the given statements. Determine the Truth Value of each statement and its converse. Cond.=True Conv -- True -g - oiyteyg.sn#ethynitisasuare FALSE Trapezoid
13 The validity of a converse is NOT dependent on the validity of the original conditional
14 Symbolic Notation of Conditional Statements and Converses Statement Example Symbols Notation P = hypothesis Conditional If an angle is a straight angle, then its measure is 180 degrees q= conclusion P= an angle P q is a straight angle q= it has a If P Then q measure of 180 Converse q p
15 Symbolic Notation of Conditional Statements and Converses Statement Example Symbols Notation Conditional If an angle is a straight angle, then its measure is 180 degrees Converse
16 Symbolic Notation of Conditional Statements and Converses Statement Example Symbols Notation Conditional If an angle is a straight angle, then its measure is 180 degrees Converse
17 Symbolic Notation of Conditional Statements and Converses Statement Example Symbols Notation Conditional If an angle is a straight angle, then its measure is 180 degrees Converse
18 Symbolic Notation of Conditional Statements and Converses Statement Example Symbols Notation Conditional If an angle is a straight angle, then its measure is 180 degrees Converse
19 Symbolic Notation of Conditional Statements and Converses Statement Example Symbols Notation Conditional If an angle is a straight angle, then its measure is 180 degrees Converse
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