Answer :
Answer:
[tex]\frac{x}{2} < \frac{x}{2}[/tex]
[tex]-x < -y[/tex]
These expressions are not true.
Step-by-step explanation:
The first option is not true, because is [tex]x<y[/tex], it implies that [tex]\frac{x}{2} <\frac{y}{2}[/tex]. Also, there doesn't exist a number that is reflexive regarding < or > relations, because a number is not more or less than itself, the reflexive property is applied with equalities, or [tex]\leq \geq[/tex] relations, because the equality signs is included.
The other expression that is not true is the second one, because when we multiply or divide a negative number in a inequality, the relations changes, for example:
[tex]-x<-y\\\frac{-x}{-1}<\frac{-y}{-1}\\x>y[/tex]
As you can see, the relations changed from < to >, demonstrating that is not true.
Therefore the first and second options are false.