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Tamil Nadu Board of Secondary EducationHSC Science Class 11

Solve: 5-x3<x2-4 - Mathematics

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Question

Solve: `(5 - x)/3 < x/2 - 4`

Sum

Solution

`(5 - x)/3 < x/2 - 4`

Multiplying both sides by 3, we have

`5 - x < (3x)/2 - 12`

Multiplying both sides by 2, we have

10 – 2x < 3x – 24

10 + 24 < 3x + 2x

34 < 5x

`34/5 < x`

`x > 34/5`

∴ The solution set is `(34/5, ∞)`

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Linear Inequalities
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Chapter 2: Basic Algebra - Exercise 2.3 [Page 59]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 2 Basic Algebra
Exercise 2.3 | Q 4. (ii) | Page 59

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