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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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Question

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

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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APPEARS IN

 Selina Solution for Concise Mathematics for Class 10 ICSE (2020 (Latest))
Chapter 4: Linear Inequations (In one variable)
Exercise 4(B) | Q: 11 | Page no. 49
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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. Concept: Linear Inequations in One Variable.
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