已知集合A={x|x<-1,或x>4},B={x|2a≤x≤a+3},若B⊆A,求实数a

已知集合A{x|x<1,或x>4}B{x|2axa3},若BA,求实数a的取值范围.

答案

解:当B=∅时,只需2a>a3,即a>3.

B∅时,根据题意作出如图所示的数轴,可得

解得a<-42a≤3.

综上,可得实数a的取值范围为a<-4a2.

相关题目

—           do you write to your pen friend?   —Once a month.
—           do you write to your pen friend?   —Once a month. A.How long                                  B.How many C.How often        
已知F1,F2是椭圆C:+=1(a>b>0)的两个焦点,P为椭圆C上的
已知F1,F2是椭圆C:+=1(a>b>0)的两个焦点,P为椭圆C上的一点,且⊥.若△PF1F2的面积为9,则b=________.
将下列名词的代号填在相应空格内 A.分解      B.吸附 
将下列名词的代号填在相应空格内 A.分解      B.吸附      C.过滤 ①将食盐与泥沙分离的方法________; ②化肥碳酸氢铵在炎热夏季的“消失”__
Wei Hua told me she had         homework to do every day. A. too much
Wei Hua told me she had         homework to do every day. A. too much      B.much too      C.  too many
                                真正的逍遥
                                真正的逍遥     我始终觉得庄子是孤独的,是一个寂寞的游吟诗人,他笔下的那些生物也是孤独的。  
补写出下列名句的上句或下旬。(只选做三小题)(3分) 【小题1
补写出下列名句的上句或下旬。(只选做三小题)(3分) 【小题1】纸上得来终觉浅,              。(陆游《观书有感》)【小题2】          
 “开车不饮酒,饮酒别开车!”饮酒过量的人往往表现为语
 “开车不饮酒,饮酒别开车!”饮酒过量的人往往表现为语无伦次、走路不稳、呼吸急促,人脑中受影响的生理结构依次是( ) A.大脑、脊髓、脑
—Why didn’t you try your best to get on the bus? —I tried to , but _______
—Why didn’t you try your best to get on the bus? —I tried to , but _______ I could, it started moving. A.until          B.when           C.before     D.after  

最新题目