In this task you will be given a claim and a perspective. You should determine whether that perspective supports or undermines the claim. If the perspective could possibly convince someone with different view, it is supporting, otherwise it is undermining.
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Question: claim: The EU, USA and other western donors should not fund any Palestinian government in which terrorist organisations participate.
 perspective: Palestine will have no other choice but to  rely on anti-Israeli regimes if funds are withheld.

Answer: undermine


Question: claim: Governments of resource-rich nations should impose high taxes on mining and extraction.
 perspective: Domestic and Global impact of such a tax will be too great.

Answer: undermine


Question: claim: We must negotiate with terrorists.
 perspective: Negotiations lead to more destruction. 

Answer:
undermine