Getting wrong output when checking if 2 date periods overlap

I am trying to make a function which checks if 2 date periods overlap. For example:

1 July 2019 - 5th July 2019 and 2nd July 2019 - 4th July 2019 would return true as the 2 date periods overlap

1 July 2019 - 5th July 2019 and 13th July 2019 - 24th July 2019 would return false as the 2 date periods don't overlap

I get the wrong answer when I compare these 2 dates 24 March 2019 - 27 March 2019 and 27 March 2019 - 29 March 2019. I get the answer false. Though the answer should be true because I count all days inclusive.

How can I fix this?

import java.time.LocalDate;
import java.time.Month;

public class TestClass {

    public static void main(String[] args) {
        LocalDate start1 = LocalDate.of(2019, Month.MARCH, 24);
        LocalDate end1 = LocalDate.of(2019, Month.MARCH, 27);
        LocalDate start2 = LocalDate.of(2019, Month.MARCH, 27);
        LocalDate end2 = LocalDate.of(2019, Month.MARCH, 29);

        boolean ans = dateOverlaps(start1, end1, start2, end2);
        System.out.println(ans);

    }

    public static boolean dateOverlaps(LocalDate start1, LocalDate end1, LocalDate start2, LocalDate end2) {
        return start2.isBefore(end1) && end2.isAfter(start1); 
    }
}