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Sketch the graph which represents the solution set for the following inequation.|x| < 4 - Mathematics and Statistics

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Question

Sketch the graph which represents the solution set for the following inequation.
|x| < 4

Graph

Solution

|x| < 4 ⇒ − 4 < x < 4
Here, x takes all real values between – 4 and 4.
∴ Solution set represents bounded (open) interval (– 4, 4)
∴ the required graph of the solution set is as follows:

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Graphical Representation of Solution of Linear Inequality in One Variable
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Chapter 8: Linear Inequations - Exercise 8.1 [Page 116]

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Balbharati Mathematics and Statistics 2 (Commerce) [English] 11 Standard Maharashtra State Board
Chapter 8 Linear Inequations
Exercise 8.1 | Q 3. (viii) | Page 116
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