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Given, -8 ≤ 5x - 3 < 7
=> -8 + 3 ≤ 5x - 3 + 3 < 7 + 3 [Adding 3]
=> -5 ≤ 5x < 10
=> -5/5 ≤ 5x/5 < 10/5 [Divide by 5]
=> -1 ≤ x < 2
=> x ∈ [-1, 2)