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Given p..>q: If it rains, then I do not go fishing.

Translate the statement, If I go fishing, then it does not rain.

O p..> q

O ..p..>..q

O..q.. >..p

O q.. >p

Which statement best represents the Venn Diagram below?

O Some politicians are democrats.

O All democrats are politicians.

O All Politicians are democrats.

O Some democrats are politicians.

 

Identify the inverse, converse and contrapositive of the conditional statement below.

If it is sunny, then I will go swimming.

Converse                            Inverse         Contrapositive

If I do not swimming then it is not sunny.

If I go swimming, then it is sunny.

If it is not sunny, then I do not go swimming.

If I go swimming, then it is not sunny.

If it is not sunny, then I go swimming

 

Which Venn diagram represents the statement. All student love pizza.

 

 

                                         Pizza             Student

 

 

 

Given: -3(2x+7)= -29 -4x;

Prove x=4

Starements	Reasons
-3(2x+7) = -29 -4x	1
-6x-21 = -29 – 4x	2
-2x-21 = -29	3
-2x = -8	4
X=4	5

 

Rewrite the statement in if – then form.

All equilateral triangles have three congruent sides.

O If a figure is in equilateral triangle, then t has three congruent sides.

O A figure has three congruent sides if and only if it is equilateral triangle.

O If a figure has three congruent sides, then it is an equilateral triangle.

O A figure is an equilateral triangle if and only if it has three congruent sides.

 

Given: If you are at least 25 years old, then you can rent a car.

            Anna is 28 years old.

Conclusion: Anna can rent a car.

 

6941) Identify the hypothesis and conclusion for the sentence below: if you study for the test, then you will make an A.

Hypothesis

Conclusion

Conclusion:

 

Given: If two angles in a triangle are 40⁰ and 30⁰, then the third angle measure 110^o.

Given: If a triangle has an angle that measures 110⁰ then it is an obtuse triangle.

Conclusion: If two angles in a triangle are 40⁰ and 30^o, then it is an obtuse triangle.

 

 

The Venn diagram below shows the number of seniors who have their driver’s license, have Part-time jobs, and are taking college credit classes.

 

a. How many seniors have a part time job?

b. How many seniors have a driver’s license?

c. How many seniors have a part time cob or take college classes?

d. How many seniors take college, classes but do not have their driver’s license?

e. How many seniors have a driver’s license, have a part-time job and take college classes?

f. How many seniors do not take college classes?

g. How many seniors are there?

 

For #1-4, Determine whether statement (3) is a valid conclusion according to law of detachment OR syllogism. Highlight valid or invalid. If valid state BY Which LAW.

Statements	Valid or Invalid
1. If two angles are vertical then they are not adjacent angles. 2. A and <B are not adjacent. 3. < A and <B are vertical angles.	Law : ----------------- Valid or Invalid
2) 1. If m<1 is less than 90o then it is acute. 2. If an angles is acute then it is not abtuse. 3. If m<1 is less than 90o then it is not abtuse.	Law:------------------- Valid or Invalid
3) 1. If a polygon has 3 sides then it is a triangle. 2. The polygon has 3 sides. 3. The polygon is a triangle.	Law : Valid---------------- Valid or Invalid
4) 1. If frank likes chess then he is on the chess team. 2. If frank is on the chess team then he likes chess. 3. If Frank likes chess then he is team captain.	Law : Valid---------------- Valid or Invalid
5) 1. If Joe likes apples then he likes apple pie. 2. If joes likes apple jam then he likes apples. Law ---------- Conclusion: -------------
7) 1. If two lines interest to form right angles then They are perpendicular. 2. If two lines are perpendicular then they do not have equal slopes Low: -------------- Conclusion : --------------------
8) 1. If three points lie on the same line then they are collinear. 2. Points c, E, & F are on plane IDK. Law:

 

9) Circle all of the valid arguments. If you pay your dues, then you can buy a prom ticket. Brandi paid her dues. Brandi can go to ring dance. If there is lightning then there is a game delay. There is lightning. There is a game delay.   If you don’t charger your phone, then it will die. Lenny charged her phone. Lenny’s phone dies.   If you like reading then read hunger Games. Amber likes reading. Amber read Hunger Games.

10) Circle the Invalid arguments. If you your dues then you can buy a pram ticket. If you buy a prom ticket, then you can go to the doctor. If there is lightning, then there is a game delay. If there is lightning, then you have to go inside. If there is a game delay, then you have to go inside.   If you don’t charge your phone, then it will die. If your phone dies, then you can’t call home. If you can’t call home, then you will be in trouble.   If you like reading, then read hunger Games. If you read Hunger Games, then you watch the movie. If you like reading, then you watch the movie.