Given the proposition p: "all x belongs to R, the square of x-a is greater than or equal to 0", proposition q: "there exists X 'belongs to R, the square of X'd + 2aX' + 2-A = 0", if proposition p and Q are true, find the value range of real number a

Given the proposition p: "all x belongs to R, the square of x-a is greater than or equal to 0", proposition q: "there exists X 'belongs to R, the square of X'd + 2aX' + 2-A = 0", if proposition p and Q are true, find the value range of real number a

That is to say, these two propositions are true propositions
P: If X & # 178; - a ≥ 0 holds, then: a ≤ [the minimum value of X & # 178; is 0], then: a ≤ 0;
Q: There exists X 'such that x' &# 178; + 2aX '+ 2-A = 0, that is to say, the equation x' &# 178; + 2aX + 2-A = 0 has roots, that is: (2a) &# 178; - 4 (2-A) ≥ 0, and the solution is a ≥ 1 or a ≤ - 2
If these two propositions are true, then a ≤ - 2

Given the condition P: (x + 1) 2 ＞ 4, Q: X ＞ a, and ￢ P is a sufficient and unnecessary condition of ￢ Q, then the value range of a is ()
A. a≥1B. a≤1C. a≥-3D. a≤-3

(x + 1) 2 ＞ 4: when x ＞ 1 or X ＜ - 3, ￢ P is true, - 3 ≤ x ≤ 1; when ￢ q is true, X ≤ a, ￢ P is a sufficient and unnecessary condition for ￢ Q, ￢ {x | - 3 ≤ x ≤ 1} ⊂ {x | x ≤ a}, ￢ a ≥ 1

Given the condition P: (x + 1) 2 ＞ 4, Q: X ＞ a, and ￢ P is a sufficient and unnecessary condition of ￢ Q, then the value range of a is ()
A. a≥1B. a≤1C. a≥-3D. a≤-3

(x + 1) 2 ＞ 4: when x ＞ 1 or X ＜ - 3, ￢ P is true, - 3 ≤ x ≤ 1; when ￢ q is true, X ≤ a, ￢ P is a sufficient and unnecessary condition for ￢ Q, ￢ {x | - 3 ≤ x ≤ 1} ⊂ {x | x ≤ a}, ￢ a ≥ 1