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Solve the following inequation and graph the solution set on the number line: 2x – 3 < x + 2 ≤ 3x + 5, x ∈ R - Mathematics

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प्रश्न

Solve the following inequation and graph the solution set on the number line:

2x – 3 < x + 2 ≤ 3x + 5, x ∈ R

योग
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उत्तर

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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