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