DEDUCTIVE REASONING

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Given the two original statements, can a true conclusion be met? If so, what would it be? If not, why not? 1) If you accept the hypothesis, then you accept the conclusion. 2) You accept the conclusion. Conclusion:

No conclusion can be made

State a true conclusion. 1) If it's Saturday, then Cathy's dad goes fishing. 2) Today is Saturday. Conclusion:

cathy's dad goes fishing today.

State a true conclusion. 1) If a figure had four equal sides, then it is a square or a rhombus. 2) This figure has four equal sides. Conclusion:

it is either a square or a rhombus

State a true conclusion. 1) All rabbits like lettuce. 2) My pet is a rabbit. Conclusion:

my pet likes lettuce

Given the two original statements, can a true conclusion be met? If so, what would it be? If not, why not? 1) If it is June, then it is summer. 2) It is summer. Conclusion:

no conclusion can be made

State a true conclusion. 1) If the mill is on strike, then no one works. 2) The mill is on strike. Conclusion:

no one works.

Which of the following statements is not true and true of deductive reasoning?

not true: It is used when you solve an equation in algebra. true: It is used to make broad generalizations using specific observations, It is used to prove basic theorems, It is used to prove that statements are true.

State a true conclusion. 1) If a triangle has a right angle, then the triangle is a right triangle. 2) Triangle ABC is not a right triangle. Conclusion:

the ABC does not have a right angle

State a true conclusion. 1) If two planes intersect, their intersection is a line. 2) Plane R and plane S intersect. Conclusion:

the intersection of plane r and is a line.

State a true conclusion. 1) If B is between A and C, then AB + BC = AC. 2) Q is between R and S. Conclusion:

then RQ + QS = RS

State a true conclusion. 1) If a●b = 0, then a = 0 or b = 0 2) 3x = 0 Conclusion:

then x = 0

State a true conclusion. 1) If people live in Zook, then they live in Zee. 2) Zela lives in Zook. Conclusion:

zela lives in zee


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