Decide whether the following are true or false.
-
.
-
.
-
.
-
is not satisfied by any
.
- For all
there exists a
such that
.
-
False. Let
, then
, but
.
-
True.
Hence,
This means
.
-
True.
-
False. This equality is true for
since
-
False. Take
, then
Hence,
in either case and so
.