According to the question, if you graph this on a number line, it basically means any number that is greater than [tex]\frac{1}{2}[/tex] (arrow points to the right is all numbers greater than).
Open circle means that [tex]\frac{1}{2}[/tex] is not included.
So we are looking for the option that is greater than [tex]\frac{1}{2}[/tex].
If we divide the choices and make them decimal numbers, it is very easy to see which is the correct answer.
[tex]\frac{3}{8} =0.375[/tex]
[tex]\frac{1}{2} =0.5[/tex]
[tex]\frac{5}{6} =0.83[/tex]
Clearly, [tex]\frac{5}{6}[/tex] is greater than [tex]\frac{1}{2}[/tex]. So third answer choice is correct.
ANSWER: [tex]\frac{5}{6}[/tex]
