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Question
Solve the following inequation and represent the solution set on the number line 2x – 5 ≤ 5x + 4 < 11, where x ∈ I.
Solution
2x – 5 ≤ 5x + 4 and 5x + 4 < 11
2x – 5x ≤ 4 + 5 and 5x < 11 – 4
3x ≤ – 9 and 5x < 7
`x ≥ 9/(-3) and x < 7/5`
`x ≥ -3 and x < 1 2/5`
`-3 ≤ x ≤ 1 2/5`
Since x ∈ I, the solution set is {–3, –2 –1, 0, 1}.
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