Explanation

The sentence is about the implications of the activists’ energetic work for some assertion about the woman suffrage and temperance movements. The second blank, however, obscures the nature of that assertion. But it is clear that the “energetic work” could either support an assertion that the two movements were similar, or undermine an assertion that the two movements were opposed. “Supports” is offered as a choice for the first blank (as is the somewhat similar “underscores”), but there is no corresponding term in the second blank, nothing along the lines of “similar” or “compatible.” “Undermines” and “inimical” make for the only meaningful statement.
Thus, the correct answer is undermines (Choice A) and inimical (Choice E).
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The activist has worked in two types of movement at a same time frame however we cannot conclude that at the time when the activist was engaged in those two movements that there were only those two predominant movement there could have been other more significant movements.
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