Question 44: Find the sum of integers satisfying -10 < x 8
x ∈ Z and -10 < x ≤ 8 ⇒ x ∈ {-9, -8, ..., 7, 8}
We have: (-9) + (-8) + …+ 7 + 8 = (-9) + [(-8) + 8] + [(-7) + 7] + …+ [(-2) + 2] + [(-1) + 1] = -9
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Question 44: Find the sum of integers satisfying -10 < x 8
x ∈ Z and -10 < x ≤ 8 ⇒ x ∈ {-9, -8, ..., 7, 8}
We have: (-9) + (-8) + …+ 7 + 8 = (-9) + [(-8) + 8] + [(-7) + 7] + …+ [(-2) + 2] + [(-1) + 1] = -9
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