Let's check the options :
[tex] - x < 5[/tex]
Divide both sieds by - 1
[tex] \frac{ - x}{ - 1} > \frac{ 5}{ - 1} \\ [/tex]
[tex]x > - 5[/tex]
False
_____________________________________________
[tex] - x > - 5[/tex]
Divide both sides by - 1
[tex] \frac{ - x}{ - 1} < \frac{ - 5}{ - 1} \\ [/tex]
[tex]x < 5[/tex]
True
_____________________________________________
Divide both sides by - 1
[tex] \frac{ - x}{ - 1} < \frac{5}{ - 1} \\ [/tex]
[tex]x < - 5[/tex]
False
_____________________________________________
[tex] - x < - 5[/tex]
Divide both sides by - 1
[tex] \frac{ - x}{ - 1} > \frac{ - 5}{ - 1} \\ [/tex]
[tex]x > 5[/tex]
False
