Logic and Proof Exercises

Example 1

Sandra loves skydiving, pepperoni pizza, and the number 17. She doesn't like Tuesdays or the color purple (sorry, Alice Walker). Is the statement "Sandra loves pepperoni pizza and she loves Tuesdays" true?

Hint

For the statement to be true, both parts have to be true.

Example 2

Sandra loves skydiving, pepperoni pizza, and the number 17. She doesn't like Tuesdays or the color purple (sorry, Alice Walker). Is the statement "Sandra loves 17 or she does not love 17" true?

Hint

Only one part of the overall statement can be true. Does that make it true or false?

Example 3

Sandra loves skydiving, pepperoni pizza, and the number 17. She doesn't like Tuesdays or the color purple (sorry, Alice Walker). Is the statement "Sandra does not love purple or she loves skydiving" true?

Hint

What does it mean if both are true?

Example 4

Is there a value for x that will satisfy the statement "x = 7 or x² = 25"?

Hint

"Or" means only one of the atoms must be true for the whole statement to be true.

Example 5

Is there a value that will satisfy the statement "x⁰ = 1 and x + 1 = 4623"?

Hint

Both atoms must be true for the statement as a whole to be true.

Logic and Proof Exercises

Example 1

Example 2

Example 3

Example 4

Example 5

Tired of ads?