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.
Answer
No, the statement is false.
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?
Answer
The statement is true.
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?
Answer
The statement is 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.
Answer
Yes. There are three values: x can equal either 7 or 5 or -5.
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.
Answer
Yes. The value that will satisfy the whole statement is x = 4622.