Consider the sets S1={x∈Z:x2−7x+10<0}S_1 = \{x \in \mathbb{Z} : x^2 - 7x + 10 < 0\}S1={x∈Z:x2−7x+10<0} and S2={x∈Z:gcd(x,6)=1}S_2 = \{x \in \mathbb{Z} : \text{gcd}(x, 6) = 1\}S2={x∈Z:gcd(x,6)=1}. Determine the set S1∩S2S_1 \cap S_2S1∩S2.
∅\emptyset∅
{3}\left\{3\right\}{3}
{4}\left\{4\right\}{4}
{3,4}\left\{3,4\right\}{3,4}