Perhaps what you find confusing is the use of set-builder notation to define 
: Included in between { ... } are the condition(s) that any "candidate" element must satisfy in order to be included in the set, and a set defined by set-builder notation contains all, and only, those elements satisfying all the conditions given.
In each of 
, set-builder notation is used to provide the conditions for inclusion in each set, respectively. Note: unless otherwise stipulated, you can take conditions separated by a comma to be a conjunction of conditions; that is:
$$X = \{x : \text{(condition 1), (condition 2), ...., (condition n)}\}$$ means 
is the set of all x such that x satisfies (condition 1) AND x satisfies (condition 2) AND ... AND x satisfies (condition n).
The only solution to 
are 
or 
, neither of which is odd. Hence there are 
elements in 
; that is, 
.
$$Q= \{x: x^2 = 9, x \text{ is even}\}$$
The only solutions to 
are 
or 
, neither of which is even. Hence, there are no elements in 
; that is, 
.
is the only solution to 
, but 
is not a solution to 
, (and neither 
nor 
is a solution to 
). Hence, there are no elements in 
; that is, 
.
NOTE: As an aside, regarding notation - sometimes instead of a colon :preceding the defining characteristics of a given element, you'll see | in place of the colon. E.g., 
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Perhaps what you find confusing is the use of set-builder notation to define : Included in between { ... } are the condition(s) that any "candidate" element must satisfy in order to be included in the set, and a set defined by set-builder notation contains all, and only, those elements satisfying all the conditions given.
In each of , set-builder notation is used to provide the conditions for inclusion in each set, respectively. Note: unless otherwise stipulated, you can take conditions separated by a comma to be a conjunction of conditions; that is:
$$X = \{x : \text{(condition 1), (condition 2), ...., (condition n)}\}$$ means is the set of all x such that x satisfies (condition 1) AND x satisfies (condition 2) AND ... AND x satisfies (condition n).
The only solution to are or , neither of which is odd. Hence there are elements in ; that is, .
$$Q= \{x: x^2 = 9, x \text{ is even}\}$$
The only solutions to are or , neither of which is even. Hence, there are no elements in ; that is, .
is the only solution to , but is not a solution to , (and neither nor is a solution to ). Hence, there are no elements in ; that is, .
NOTE: As an aside, regarding notation - sometimes instead of a colon :preceding the defining characteristics of a given element, you'll see | in place of the colon. E.g.,
A Null Set is a set with no elements. While the author of your book uses the notation 
, I prefer to use 
to emphasize, that the set contains nothing. The example sets 
and 
are all null sets, because there is no 
, that can satisfy the condition of being included in the set.