Answer:
a. P is a square and P is not a rectangle
b. Today is New Year’s Eve and tomorrow is not January.
c. The decimal expansion of r is terminating and r is not rational.
d. n is prime and either n is not odd or n is not 2.
e. x is nonnegative and either x is not positive or x is not 0.
f. Tom is Ann’s father and either Jim is not her uncle or Sue is not her aunt.
g. n is divisible by 6 and either n is not divisible by 2 or n is not divisible by 3.
Step-by-step explanation:
The general formula for negations that will be applied is:
Statement: If x is y, then x is z
Negation: x is y and x is not z
Statement: If x is y, then x is z and w
Negation: x is y and either x is not z or x is not w
Applying those principles:
a. P is a square and P is not a rectangle
b. Today is New Year’s Eve and tomorrow is not January.
c. The decimal expansion of r is terminating and r is not rational.
d. n is prime and either n is not odd or n is not 2.
e. x is nonnegative and either x is not positive or x is not 0.
f. Tom is Ann’s father and either Jim is not her uncle or Sue is not her aunt.
g. n is divisible by 6 and either n is not divisible by 2 or n is not divisible by 3.
