This is an interlocutory appeal of the district court’s order denying Plaintiffs motion for a temporary restraining order and for a preliminary injunction. We affirm the district court’s order.

We review a district court’s denial of a preliminary injunction for abuse of discretion. 1 See Bluefield Water Ass’n v. City of *431 Starkville, Miss., 577 F.3d 250, 253 (5th Cir. 2009). Legal determinations are reviewed de novo, and factual determinations are reviewed for clear error. See id.

A district court may grant a preliminary injunction if an applicant demonstrates (1) a substantial likelihood that he will prevail on the merits, (2) a substantial threat that he will suffer irreparable injury if the injunction is not granted, (3) his threatened injury outweighs the threatened harm to the party whom he seeks to enjoin, and (4) granting the preliminary injunction will not disserve the public interest. Lake Charles Diesel, Inc. v. Gen. Motors Corp., 328 F.3d 192, 195-96 (5th Cir. 2003) (citation omitted). “We have cautioned repeatedly that a preliminary injunction is an extraordinary remedy which should not be granted unless the party seeking it has clearly carried the burden of persuasion on all four requirements.” Id. at 196 (citation and quotes omitted).

Plaintiff argues that the district court erred in denying him a preliminary injunction because he has satisfied all four prongs of the above-cited test. However, the district court concluded, inter alia, that Plaintiff had failed to show a likelihood of success on the merits. Specifically, the district court held that Plaintiff failed to demonstrate that Defendant’s otherwise gender-neutral policy of corporal punishment violates Plaintiffs right to equal protection by its purportedly disparate impact on male students. Given the Supreme Court precedent on disparate impact and the burden of proof for showing discriminatory intent, we do not find the district court’s holding an abuse of discretion. See, e.g., Personnel Adm’r of Mass. v. Feeney, 442 U.S. 256, 274, 99 S.Ct. 2282, 2293, 60 L.Ed.2d 870 (1979) (“purposeful discrimination,” not just disparate impact, necessary for equal protection violation).

Moreover, given the district court’s acceptance of Plaintiffs alleged operative facts as true regarding the frequency and disparate nature of the alleged punishment, we find no abuse of discretion in the court’s denial of Plaintiffs request for an evidentiary hearing. See PCI Transp., Inc. v. Fort Worth & W. R.R. Co., 418 F.3d 535, 546 (5th Cir. 2005) (no evidentiary hearing necessary when material factual dispute is absent).

Because we find no abuse of discretion regarding Plaintiffs likelihood of success on the merits, we need not review the district court’s other grounds for denying the preliminary injunction. See Lake Charles Diesel, Inc., 328 F.3d at 196.

AFFIRMED.