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Solve and graph the solution set of: 2x – 9 < 7 and 3x + 9 ≤ 25, x ∈ R - Mathematics

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Question

Solve and graph the solution set of:

2x – 9 < 7 and 3x + 9 ≤ 25, x ∈ R

Sum

Solution

2x – 9 < 7 and 3x + 9 ≤ 25

2x < 16 and 3x ≤ 16

x < 8 and x ≤ `5 1/3`

∴ Solution set = `{x <= 5 1/3, x ∈ R}`

The required graph on number line is

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Linear Inequations in One Variable
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Chapter 4: Linear Inequations (In one variable) - Exercise 4 (B) [Page 49]

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Selina Mathematics [English] Class 10 ICSE
Chapter 4 Linear Inequations (In one variable)
Exercise 4 (B) | Q 12.1 | Page 49
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