Let P: for M belong to [negative one, 1], inequality a square minus 5A minus 3 is greater than or equal to m square plus 8, proposition q, inequality x square plus ax plus 2 Let P: for M belong to [negative one, 1], inequality a square minus 5A minus 3 is greater than or equal to the following sign m square plus 8. Proposition q, inequality x square plus ax plus 2 is less than 0. If P is true proposition and Q is false proposition, the value range of a should be explained in detail

Let P: for M belong to [negative one, 1], inequality a square minus 5A minus 3 is greater than or equal to m square plus 8, proposition q, inequality x square plus ax plus 2 Let P: for M belong to [negative one, 1], inequality a square minus 5A minus 3 is greater than or equal to the following sign m square plus 8. Proposition q, inequality x square plus ax plus 2 is less than 0. If P is true proposition and Q is false proposition, the value range of a should be explained in detail

The proposition p is true, because the inequality m ∈ [- 1,1] holds, so there is a ^ 2-5a-3 ≥ 3
Q proposition is false, that is to say, x ^ 2 + ax + 2 ＜ 0 has no solution, then Δ = a ^ 2-8 ≤ 0
In conclusion: - 2 √ 2 ≤ a ≤ - 1