The dissenting justices disagreed with the majority opinion in the Tinker case because the dissenting justices believed that

The Supreme Court did not have the authority to hear the case.
The armbands did disrupt learning.
The armbands did not disrupt learning.

The armbands did not disrupt learning.

The dissenting justices in the Tinker case disagreed with the majority opinion because they believed that the armbands did not disrupt learning.

To determine why the dissenting justices disagreed with the majority opinion in the Tinker case, we can look at the case itself. The Tinker case, also known as Tinker v. Des Moines Independent Community School District, was a landmark Supreme Court case in 1969 that dealt with First Amendment rights of students in public schools.

In this case, a group of students decided to wear black armbands to school to protest the Vietnam War. The school reacted by promulgating a policy that prohibited students from wearing the armbands, resulting in several suspensions. Ultimately, the Supreme Court had to decide whether the school's prohibition violated the students' constitutional rights.

The majority opinion, which was in favor of the students, held that the students' First Amendment rights were protected. They argued that the wearing of the armbands did not cause any material or substantial disruption to the operation of the school. As a result, the school's prohibition was deemed unconstitutional.

Now, turning to the dissenting justices, they had a differing opinion on the matter. Though their specific rationale may differ, in general, the dissenting justices believed that the armbands did actually disrupt learning. They may have argued that the protest disrupted the educational environment and interfered with the school's ability to maintain discipline and order. They may have also disagreed with the majority's interpretation of the First Amendment, suggesting that the right to free speech in a school setting should be curtailed to a certain extent in order for the school to fulfill its educational mission.

In summary, the dissenting justices in the Tinker case disagreed with the majority opinion because they believed that the armbands did disrupt learning, unlike the majority who claimed that they did not.