So the range of b is less than or equal to a.
therefore
m+ 1 & gt; =-2
2m- 1 & lt; =5
Get-3
2. Solution:
A∩B={-3} means that one element in b is -3.
Let's start the discussion.
(1) If a-3=-3, a=0.
Substitute a and b to get:
A={0, 1,-3},B={-3,- 1, 1}
At this time, A∩B={ 1, -3}
inconformity
(2) If 2a- 1=-3, a=- 1.
Substitute a and b to get
A={ 1,0,-3},B={-4,-3,2}
A∩B={-3}
To sum up: a=- 1 is what you want.
3. From the meaning of the question, B = {2 2,3} and C = {2 2,4}.
(1) when A∩B=A∪B, A = φ or a = b.
When a = φ, discriminant: a 2-4 (a 2-19) < 0, a 2 > 76/3,
Namely: a < -2√( 19/3) or a & gt2√( 19/3).
When A=B, there are: -a=-5 and a 2- 19 = 6.
Solution: a=5
Based on the above two situations, there are: A
(2) When φ is really contained in A∩B and A ∩ C = φ, A contains element 3, but elements 2 and -4 do not belong to A..
Substituting x=3 into x 2-ax+a 2- 19 = 0, we get: 9-3a+a 2- 19 = 0.
Solution: a=-2 or a=5.
A=-2 generations back, get: x 2+2x- 15 = 0, x = 3 or-5;
If a=5 generations back, we can get: x 2-5x+6 = 0, x = 3 or x=2, give up.
So: a=-2
4. Solution: A∩(CuB)={ 1, 2}
A must have the element 1, 2, while b has no element 1, 2.
Because a ∩ b ≠ φ
1.A={ 1,2,3},B={3,4,5}
2 A={ 1,2,4},B={3,4,5}
3 A={ 1,2,5},B={3,4,5}
4.A={ 1,2,3,4},B={3,4,5}
5.A={ 1,2,3,5},B={3,4,5}
6.A={ 1,2,3,4,5},B={3,4,5}