A public high school student named Mitch wears to school one day a homemade T-shirt that reads "Joe Biden is an Idiot." It has a picture of President Biden with a dunce cap on his head. The only reaction to the shirt from other students that day is that a few kids laugh, while others tell Mitch that they believe "Joe rocks, dude." School administrators, however, object to the T-shirt, finding it offensive and degrading to President Biden, and they order the student to either put on another T-shirt or to turn the anti-Biden shirt inside out so the message does not show. Mitch refuses to do so, and the school suspends him for 10 days. Mitch then sues the school for violating his First Amendment right of free speech. You are a judge and are asked to consider whether Mitch's First Amendment right of free speech has been violated.

a. Identify the name of the U.S. Supreme Court case that is most applicable as precedent and set forth the rule or test in that case that applies. Additionally, use the relevant facts to explain your ruling.

b. Explain why two other major U.S. Supreme Court cases on the free speech rights of high school students don't apply, using the case names and relevant facts to distinguish them from the case before you.