Given that the set u = x is greater than or equal to 2, the set a = y 3 is less than or equal to y less than 4, the set B = Z 2 is less than or equal to Z less than 5, find the intersection B of a's complement sets and the union a of B's complement sets

Given that the set u = x is greater than or equal to 2, the set a = y 3 is less than or equal to y less than 4, the set B = Z 2 is less than or equal to Z less than 5, find the intersection B of a's complement sets and the union a of B's complement sets

CUA = {XL 2 ≤ X & lt; 3 or X ≥ 4} & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp;
So it's like this
CUA ∩ B = {XL 2 ≤ X & lt; 3 or 4 ≤ X & lt; 5} & nbsp;
CuB=｛xl x≥5｝
So here's the picture;
Cub ∪ a = {XL 3 ≤ X & lt; 4 or X ≥ 5} & nbsp;

Let u = R, a = {x | X's square + ax-12 = 0}, B = {x | X's square + BX + B's Square - 28 = 0}, if a ∩ cub = {2}, find the value of real numbers a and B

First of all, 2 is the root of the equation x ^ 2 + ax-12 = 0
Secondly, 2 is not the root of the equation x ^ 2 + BX + B ^ 2-28 = 0. After substituting, we get: B ≠ 6 and B ≠ - 4
So a = 4, B ≠ 6 and B ≠ - 4

Given the function f (x) = ㏑ (x + 1) + MX, when x = 0, the function f (x) obtains the maximum value. (1) find the value of real number m; (2) know the positive numbers λ 1, λ 2 λn,
Given the function f (x) = ㏑ (x + 1) + MX, when x = 0, the function f (x) obtains the maximum value. (1) find the value of real number m;
(2) The positive numbers λ 1, λ 2 λ n, satisfying λ 1 + λ 2 λ + +λ n = 1, prove: when n ≥ 2, n ∈ n, for any real number x1, X2 Xn, have f (λ 1x1 + λ 2x2 +...) +λn xn) ＞λ1f(x1)+ λ2f(x2)+…… +λn f(xn).

1 m=-1

Given the function FX = - x ^ 3 + x ^ 2 + B, GX = alnx 1) if the maximum value of FX is 4 / 27, find the value of real number B. 2) if GX ≥ - x ^ 2 + (a + 2) x is constant for any x belonging to [1, e], find the value range of real number a