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Question:
by solving -8≤5x-3<7 we get
Answer:

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)

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