# Logic and Proof

# Building Mathematical Statements 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?

### 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?

### 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?

### Example 4

Is there a value for *x* that will satisfy the statement "*x* = 7 or *x*^{2} = 25"?

### Example 5

Is there a value that will satisfy the statement "*x*^{0} = 1 and *x* + 1 = 4,623"?