Solve forxx and graph the solution on the number line below.1>1>x55x

The Solution:
Given:
[tex]1>\frac{x}{5}[/tex]Required:
Solve the given inequality and then represent the result in a number line.
To solve the inequality, multiply both sides by 5 because 5 is the LCM of the denominators on both sides.
[tex]5(1)>5(\frac{x}{5})[/tex][tex]5>x[/tex]Interchange both sides and then reverse the inequality symbol.
[tex]x<5[/tex]The inequality notation of the solution is:
[tex]x<5[/tex]The number line representation is: