It is known that α is the second quadrant angle, and | α + 2 | ≤ 4, then the value range of α is______ .

It is known that α is the second quadrant angle, and | α + 2 | ≤ 4, then the value range of α is______ .

∵| α + 2 | ≤ 4, ∪ - 4 ≤ α + 2 ≤ 4, ∪ - 6 ≤ α ≤ 2. And∵ α is the second quadrant angle, ∪ - 3 π 2 < α < - π or π 2 < α ≤ 2. So the answer is: (- 3 π 2, - π) ∪ (π 2, 2]