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 should choose open source software in order to encourage its use.
 perspective: Open source software is too costly int he long run for governments.

Answer: undermine


Question: claim: Same sex relationships should have the same legal status as heterosexual relationships under EU law.
 perspective: Gay marriage is contrary to the word of God and is incompatible with the beliefs, sacred texts, and traditions of many religious groups. 

Answer:
undermine