10. (E)
Question type: Inference
A key to this question is the phrase "if the statements above are true." The test taker should not pick an answer based on outside knowledge, or what they deem to be "reasonable," but rather on the specific conditions within the argument.
If we combine the statements "People whose conflicts are based on ideology are unwilling to compromise," and "Only people who are willing to compromise should undergo mediation to resolve their conflicts," and if we assume these statements to be absolutely true, we can say that those whose conflicts are based on ideology should not undergo mediation to resolve these conflicts. Therefore, (E) is the correct answer.
(A) represents an incorrect understanding of the conditional logic.
(B) represents an incorrect understanding of the conditional logic.
(C) represents an incorrect understanding of the conditional logic.
(D) represents an incorrect understanding of the conditional logic.