State whether the argument below is valid or invalid . If it is invalid, give a reason why it is invalid. All weebles are wobbles. All wobbles have woozles. Therefore, all weebles have woozles.

invalid; because weebles, wobbles, and woozles do not exist

invalid; because the conclusion does not follow logically from the premises

Classify the valid argument below as sound or unsound . If it is unsound, give a reason why it is unsound. If a person is caring, he will help when others are in need. Antoine didn't help when others were in need. Therefore, Antoine isn't caring.

unsound; the first premise (first sentence) is faulty

unsound; the second premise (second sentence) is faulty

Classify the valid argument below as sound or unsound . If it is unsound, give a reason why it is unsound. 2 + 2 = 4. 4 + 5 = 9. Therefore, 2 + 2 + 5 = 9.

unsound; the first premise (first sentence) is faulty

unsound; the second premise (second sentence) is faulty

Logic

Quiz

•

Mathematics

•

7th - 12th Grade

•

Practice Problem

•

Hard

•

CCSS

RI.8.8, RI.7.8, 7.SP.C.5

+11

Standards-aligned

Sara Kopp

Used 81+ times

FREE Resource

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Given that p = “I have three cats” and q = “I am insane”, write the following statement in symbolic notation:

I do not have three cats.

¬ p

¬ q

^ p

^ q

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Given that p = “I have three cats” and q = “I am insane”, write the following statement in symbolic notation:

If I have three cats, then I am insane.

q => p

p => q

p v q

p ^ q

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Given that p = “I have three cats” and q = “I am insane”, write the following statement in symbolic notation:

If I am not insane, then I do not have three cats.

¬ q => p

¬ p => q

¬ q => ¬ p

¬ p => ¬ q

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Given that p = “I have three cats” and q = “I am insane”, write the following statement in symbolic notation:

I have three cats if and only if I am insane.

q => p

p => q

q <=> p

p <=> q

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Given that p = “I have three cats” and q = “I am insane”, write the following statement in symbolic notation:

If I am insane, then I have three cats.

q => p

p => q

q <=> p

p <=> q

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Given the statement, "If I have three cats, then I am insane”, write the converse of the statement.

If I have three cats, then I am insane.

If I am not insane, then I do not have three cats.

If I am insane, then I have three cats.

If I do not have three cats, then I am not insane.

Given the statement, "If I have three cats, then I am insane”, write the inverse of the statement.

If I have three cats, then I am insane.

If I am not insane, then I do not have three cats.

If I am insane, then I have three cats.

If I do not have three cats, then I am not insane.

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Logic

20 questions

Given that p = “I have three cats” and q = “I am insane”, write the following statement in symbolic notation:

I do not have three cats.

Given that p = “I have three cats” and q = “I am insane”, write the following statement in symbolic notation:

If I have three cats, then I am insane.

Given that p = “I have three cats” and q = “I am insane”, write the following statement in symbolic notation:

If I am not insane, then I do not have three cats.

Given that p = “I have three cats” and q = “I am insane”, write the following statement in symbolic notation:

I have three cats if and only if I am insane.

Given that p = “I have three cats” and q = “I am insane”, write the following statement in symbolic notation:

If I am insane, then I have three cats.

Given the statement, "If I have three cats, then I am insane”, write the converse of the statement.

Given the statement, "If I have three cats, then I am insane”, write the inverse of the statement.

Given the statement, "If I have three cats, then I am insane”, write the contrapositive of the statement.

Which statement is logically equivalent to p => q ?

State whether the argument below is valid or invalid. If it is invalid, give a reason why it is invalid.

If Joe eats greasy food, he will feel sick.
Joe does not eat greasy food.
Therefore, Joe won’t feel sick.

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Similar Resources on Wayground

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Discover more resources for Mathematics

Logic

20 questions

Given that p = “I have three cats” and q = “I am insane”, write the following statement in symbolic notation:I do not have three cats.

Given that p = “I have three cats” and q = “I am insane”, write the following statement in symbolic notation:If I have three cats, then I am insane.

Given that p = “I have three cats” and q = “I am insane”, write the following statement in symbolic notation:If I am not insane, then I do not have three cats.

Given that p = “I have three cats” and q = “I am insane”, write the following statement in symbolic notation:I have three cats if and only if I am insane.

Given that p = “I have three cats” and q = “I am insane”, write the following statement in symbolic notation:If I am insane, then I have three cats.

Given the statement, "If I have three cats, then I am insane”, write the converse of the statement.

Given the statement, "If I have three cats, then I am insane”, write the inverse of the statement.

Given the statement, "If I have three cats, then I am insane”, write the contrapositive of the statement.

Which statement is logically equivalent to p => q ?

State whether the argument below is valid or invalid. If it is invalid, give a reason why it is invalid. If Joe eats greasy food, he will feel sick. Joe does not eat greasy food. Therefore, Joe won’t feel sick.

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Given that p = “I have three cats” and q = “I am insane”, write the following statement in symbolic notation:

I do not have three cats.

Given that p = “I have three cats” and q = “I am insane”, write the following statement in symbolic notation:

If I have three cats, then I am insane.

Given that p = “I have three cats” and q = “I am insane”, write the following statement in symbolic notation:

If I am not insane, then I do not have three cats.

Given that p = “I have three cats” and q = “I am insane”, write the following statement in symbolic notation:

I have three cats if and only if I am insane.

Given that p = “I have three cats” and q = “I am insane”, write the following statement in symbolic notation:

If I am insane, then I have three cats.

State whether the argument below is valid or invalid. If it is invalid, give a reason why it is invalid.

If Joe eats greasy food, he will feel sick.
Joe does not eat greasy food.
Therefore, Joe won’t feel sick.