(i) Let . Take , so the statement is true.

(ii) Let . Take , so the statement is true.

(iii) For , so the statement is false.

(iv) For , so the statement is false.

(v) If .

If , take , so the statement is false.

(vi) Let . Take , so the statement is true.

(vii) Take , so the statement is true.

(viii) Take and the statement is true.

(ix) is false, so the statement is false.

(x) is true (see (i)).

is true (take ), so the statement is true.