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“Throughout her career, Ms. Kagan has placed her politics above the law,” he said. “Americans who are deeply troubled by Washington’s growing disregard for the Constitution should also be troubled by this nomination.”

Sen. John Cornyn, Texas Republican, said that Ms. Kagan’s judicial philosophy was “intentionally vague and open to multiple interpretations” during her two days of testimony before the committee this summer.

“What do we know about this nominee? I submit, not much,” he said.

But Sen. Charles E. Schumer, New York Democrat, disagreed, saying that Ms. Kagan provided “very meaty answers - and a lot of them.”

“Some of my colleagues across the table are citing General Kagan’s failure to directly answer questions as a reason to vote against her. I find that really puzzling since by almost any standard she was more direct and forthright than [Chief Justice John G. Roberts Jr.] was at his hearings, and they voted for him,” he said.

Mr. Graham’s support of Ms. Kagan all but assures a successful confirmation in the full Senate, which is expected to vote on the issue before its August break.

Ms. Kagan is Mr. Obama’s second Supreme Court nominee after Sonia M. Sotomayor, who was confirmed last year.