To determine the expression representing Selena's losses, we start by recognizing a few key points about the problem:
1. The total number of games Selena played is given as 32.
2. Let [tex]\( x \)[/tex] signify the number of games Selena won.
3. Our goal is to find an expression that represents the number of games Selena lost.
To find the number of games Selena lost, we need to subtract the number of games she won from the total number of games. Mathematically, this can be expressed as:
[tex]\[
\text{Number of losses} = \text{Total number of games} - \text{Number of games won}
\][/tex]
Given that the total number of games is 32 and the number of games won is [tex]\( x \)[/tex], the expression becomes:
[tex]\[
\text{Number of losses} = 32 - x
\][/tex]
Now let's match this expression with the given options:
A) [tex]\( 32 x \)[/tex] - This is incorrect because it represents multiplication, not subtraction.
B) [tex]\( 32 + x \)[/tex] - This is incorrect because it represents addition, not subtraction.
C) [tex]\( 32 - x \)[/tex] - This is correct because it represents the total number of games minus the number of games won, which gives the number of losses.
D) [tex]\( \frac{32}{x} \)[/tex] - This is incorrect because it represents division, not subtraction.
E) [tex]\( x - 32 \)[/tex] - This is incorrect because it reverses the subtraction, which does not accurately depict the number of losses.
Therefore, the correct answer is:
[tex]\[
\boxed{32 - x}
\][/tex]
