True.
In the case of Tinker v. Des Moines, the Supreme Court ruled that the students' right to wear an armband in protest of the Vietnam War was protected by the First Amendment as long as it did not disrupt the school environment.
The Tinker case involved three students who were suspended from their school for wearing black armbands to protest the war. The school argued that the armbands were disruptive and distracting, and therefore, the students' First Amendment rights did not apply.
However, the Supreme Court disagreed with the school's argument. They ruled that students do not "shed their constitutional rights to freedom of speech or expression at the schoolhouse gate." The Court recognized that students have the right to express their opinions, even if those opinions are controversial or unpopular.
The Court established the "Tinker standard," which states that student speech is protected as long as it does not substantially disrupt the educational environment. Since the armbands did not cause any significant disruption, the students' right to wear them was upheld.
Therefore, the statement that the Supreme Court ruled that the 1st Amendment protected the students' right to wear an armband in protest of the Vietnam War as long as it did not disrupt the school environment is true.
