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

7th - 12th Grade

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Logic

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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

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

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

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

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

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

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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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.

Access all questions and much more by creating a free account

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.