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2/5/2021-Unit 1 Quiz Review

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Last updated over 4 years ago
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Question 1
1.

What is the symbolic representation of a contrapositive statement?

Question 2
2.

What is the symbolic representation of an original conditional statement?

Question 3
3.

What is the symbolic representation of a inverse statement?

Question 4
4.

What is the symbolic representation of a converse statement?

Question 5
5.

What is the hypothesis of this statement:

Tennis matches are canceled if it rains.

Question 6
6.

What is the conclusion of this statement:

Tennis matches are canceled if it rains.

Question 7
7.

What is the hypothesis of this statement:

If you oversleep, then you will be late for class.

Question 8
8.

What is the conclusion of this statement:

If you oversleep, then you will be late for class.

Question 9
9.

Write in the if/then form: "All boats have a stern"

Question 10
10.

Given the conditional statement:

"If you don't go, then I won't go."

Write the inverse.

Question 11
11.

Given the conditional statement:

"If you don't go, then I won't go."

Write the contrapositive

Question 12
12.

Given the conditional statement:

"If you don't go, then I won't go."

Write the converse.

Question 13
13.

Consider the following symbolic representation.

p→q q→r ∴p→r
Which law is modeled?

Question 14
14.

Consider the following symbolic representation.

p→q p ∴q
Which law is modeled?

Question 15
15.

Given the conditional statement:

If a polygon is a square, then it has 4 sides.

Write the converse.

Question 16
16.

Given the conditional statement:

If a polygon is a square, then it has 4 sides.

Write the inverse.

Question 17
17.

Given the conditional statement:

If a polygon is a square, then it has 4 sides.

Write the contrapositive.

Question 18
18.

Choose the statement that follows from (1) and (2) an gives a valid conclusion by the law of
syllogism.

(1) If I am going to school, then I will wake up at 5:30AM.
(2) If I wake up at 5:30AM, I will make my lunch the night before.
(3) ????

Question 19
19.

Choose the statement that follows from (1) and (2) an gives a valid conclusion by the law of
detachment. (hint: change statement (1) into the if/then form first!!)

(1) All birds chirp.
(2) Charlie is a bird.

Question 20
20.

Determine whether you can analyze a conclusion from the two given statements. If you can, write the conclusion. If you cannot, write "no conclusion".

1. If you have a can opener, you can open a can.
2. You have a can opener.
3. ????

Question 21
21.

Determine whether you can analyze a conclusion from the two given statements. If you can, write the conclusion. If you cannot, write "no conclusion".

1. If the animal has eaten poisoned food, then it will die.
2. It died.
3. ???

Question 22
22.

Determine whether you can analyze a conclusion from the two given statements. If you can, write the conclusion. If you cannot, write "no conclusion".

1. If the bridge is open, then the ship can go through the canal.
2. If the ship can go through the canal, then the company can transport goods.
3. ???