What is the correct Expression to find bigger Element by pair key and the biggest of all values

What is the correct Compare Statement to find the biggest Value of a Vector full of pairs that are bigger than a specific defined int.

int x = 5;
auto pos = max_element(ownCards.begin(),
            ownCards.end(),
            [&x](pair<int, int> p1, pair<int, int> p2) 
{ return p1.first > x && p1.second > p2.second; });

From the fact that my vector is sorted, I have the upper_bound function still taken to help, this makes the code clearer and faster, still not fast enough unfortunately.

auto start = upper_bound(ownCards.begin(), ownCards.end(), ownCards[j]);

            auto pos = max_element(start,
                                   ownCards.end(),
                                   [&x](pair<int, int> p1, pair<int, int> p2) { return p1.second > p2.second; });