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Explanation: President Eisenhower decided to send federal troops to Little Rock, Arkansas after several weeks because the situation in Little Rock had escalated to a point where state authorities were unable to maintain order and protect the rights of African American students attempting to integrate into Central High School. The local police force was overwhelmed, and there were violent mobs preventing the students from entering the school. The line in President Eisenhower's press conference speech that supports this decision is when he stated: "When citizens are unable to enjoy their rights under the Constitution, then it is the responsibility of the Executive Branch of the government to restore that protection." This indicates that the federal government needed to intervene to ensure the protection of constitutional rights in Little Rock. Another line that supports this decision is: "Mob rule cannot be allowed to override the decisions of our courts." This highlights the importance of upholding the rule of law and ensuring that court decisions regarding desegregation are enforced, which required federal intervention in this case. Answer: President Eisenhower decided to send federal troops to Little Rock, Arkansas because the situation had escalated to a point where state authorities were unable to protect the rights of African American students, as indicated in his press conference speech lines: "When citizens are unable to enjoy their rights under the Constitution, then it is the responsibility of the Executive Branch of the government to restore that protection" and "Mob rule cannot be allowed to override the decisions of our courts."

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