Math question?

Question

Please help me with this question...I want to know if the set

G={x in QI x=k/p for some Prime number p, and interger k}

Is dense or not in the Real numbers?

Thank you so much :)

if possible...could you explain your answer?

Answer 1

it is,
what you need to do is to take any real number r and any small neighborhood of r, say epsilon neighborhood of r, and see that there exist an element of G that will be in that neighborhood. !