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Question
Solve the following linear in-equation and graph the solution set on a real number line:
2x - 7 < 5x + 2 ≤ 3x + 14, x ∈ R
Solution
2x - 7 < 5x + 2
2x - 5x < 2 + 7
-3x < 9
x > -3
and
5x + 2 ≤ 3x + 14
5x - 3x ≤ 14 - 2
2x ≤ 12
x ≤ 6
Solution set = [-3 < x ≤ 6]
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