The notation\

EE!xP(x)

\ denotes the statement\ " There exists a unique

x

such that

P(x)

is true. "\ What are the truth values of the following?\

EE!xinZ,(x+3

)

=

(

2x)

\

EE!xinZ,(x

)

=

(

x+1)

\

EE!xinZ,(x^(2)

)

=

(

1)

\

EE!xinZ,(x

)

>

(

1)

The notation !xP(x) denotes the statement " There exists a unique x such that P(x) is true. " What are the truth values of the following? 1. !xZ,(x+3=2x) 2. !xZ,(x=x+1) 3. !xZ,(x2=1) 4. !xZ,(x>1)