已知集合P={x|x2-8x-20≤0},S={x||x-1|≤m}. (1)若

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问题:

已知集合P={x|x2-8x-20≤0},S={x||x-1|≤m}.

(1)若(P∪S)⊆P,求实数m的取值范围;

(2)是否存在实数m,使得“x∈P”是“x∈S”的充要条件?若存在,求出m的取值范围;若不存在,请说明理由.

考点:充分条件与必要条件
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