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Question
Solve the following inequation and graph the solution set on the number line:
2x – 3 < x + 2 ≤ 3x + 5, x ∈ R
Sum
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Solution
2x – 3 < x + 2 ≤ 3x + 5
2x – 3 < x + 2 and x + 2 ≤ 3x + 5
x < 5 and – 3 ≤ 2x
x < 5 and – 1.5 ≤ x
Solution set = {– 1.5 ≤ x < 5}
The solution set can be graphed on the number line as
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