Suppose a person traveling to Palm Springs seeks the least expensive hotel room at a $3-$star or better hotel, within $2$ miles of downtown shopping, and that has a customer rating of four or better on a five$-$point scale. A feasible solution for this problem would be:

A $4-$star hotel rated $4\mathrm{.}5$ out of $5,$ that is $1$ mile from downtown shopping

A $3-$star hotel rated $3\mathrm{.}9$ out of $5,$ that is $0\mathrm{.}5$ miles from downtown shopping

A $2-$star hotel rated $4\mathrm{.}5$ out of $5,$ that is $1\mathrm{.}1$ miles from downtown shopping

A $3-$star hotel rated $4\mathrm{.}5$ out of $5,$ that is $2\mathrm{.}1$ miles from downtown shopping

Exactly two answers are correct.