问题
解答题
若集合A={x|-2<x<1或x>1},B={x|a≤x≤b},且A∪B={x|x>-2},A∩B={x|1<x≤3},则a=______,b=______.
答案
∵A={x|-2<x<1或x>1},B={x|a≤x≤b},A∩B={x|1<x≤3},
∴b=3,
又∵A∪B={x|x>-2},∴a=1,
故答案为:1,3.
若集合A={x|-2<x<1或x>1},B={x|a≤x≤b},且A∪B={x|x>-2},A∩B={x|1<x≤3},则a=______,b=______.
∵A={x|-2<x<1或x>1},B={x|a≤x≤b},A∩B={x|1<x≤3},
∴b=3,
又∵A∪B={x|x>-2},∴a=1,
故答案为:1,3.