Given that P: {x | - x ^ 2 + 8x + 20 ≥ 0}, Q: {x | - 1-m ≤ x ≤ 1 + m, M > 0}, if P is not a necessary and sufficient condition for Q, the value range of M is obtained | Math enthusiast | Mathematical art

Given that P: {x | - x ^ 2 + 8x + 20 ≥ 0}, Q: {x | - 1-m ≤ x ≤ 1 + m, M > 0}, if P is not a necessary and sufficient condition for Q, the value range of M is obtained

The sufficient and unnecessary condition that non-p is not q is equivalent to the sufficient and unnecessary condition that Q is p (the range of Q is less than P)
p：-2≤x≤10 q:1-m≤x≤1+m
① 1-m>-2
1+m

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