1.1.3集合的基本运算练习1

4.已知集合A ={x |-2≤x ≤7},B ={x |m +1<x <2m -1},且B ≠φ,若A ∪B =A ,则

( )

A .-3≤m ≤4

B .-3<m <4

C .2<m <4

D .2<m ≤4

二、填空题

5.(江苏高考)已知集合A ={1,2,4},B ={2,4,6},则A ∪B =________.

6.已知集合A ={x |x ≥5},集合B ={x |x ≤m },且A ∩B ={x |5≤x ≤6},则实数m =________.

7.已知集合A ={x |x ≤1},B ={x |x ≥a },且A ∪B =R ,则实数a 的取值范围是________.

8.已知集合A ={(x ,y )|y =ax +3},B ={(x ,y )|y =3x +b },A ∩B ={(2,5)},则a =________,b =________.

三、解答题

9.已知集合A ={x |-1≤x <3},B ={x |2x -4≥x -2}.

(1)求A ∩B ;

(2)若集合C ={x |2x +a >0},满足B ∪C =C ,求实数a 的取值范围.

10.已知集合A =⎩⎨⎧⎭⎬⎫x ⎪⎪⎪ ⎩

⎪⎨⎪⎧ 3-x >0,3x +6>0,集合B ={m |3>2m -1},求A ∩B ,A ∪B .

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