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Solve the following inequation: 0<x-54<3 - Mathematics and Statistics

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Question

Solve the following inequation: `0 < ("x" - 5)/4 < 3`

Sum

Solution

`0 ≤ ("x" - 5)/4 ≤ 3`
Multiplying both sides by 4, we get
0 < x – 5 < 12
Adding 5 on both sides, we get
5 < x < 17
x takes all real values between 5 and 17.
∴ Solution set = (5, 17)

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Solution of Linear Inequality
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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 2. (iii) | Page 116
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