Tamil Nadu Board of Secondary EducationHSC Arts Class 11

Solve for x: |3-34x|≤14 - Mathematics

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Sum

Solve for x: `|3 - 3/4x| ≤ 1/4`

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Solution

`(-1)/4 ≤ 3 - 3/4 x ≤1/4`

`- 1/4 - 3 ≤ - 3/4x`

`- 13/4 ≤ (-3)/4x`

⇒ 3x ≤ 13

⇒ x ≤ `13/3`  ......(1)

`-3/4 ≤ 1/4`

`- 3/4 x ≤ 1/4 - 3(= -11/4)`

`-(3x)/4 ≤ (-11)/4`

⇒ 3x ≥ 11

⇒ `x ≥ 11/3`  ......(2)

From (1) and (2)

 ⇒ `11/3 ≤ x ≤ 13/3`

Concept: Absolute Value
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Chapter 2: Basic Algebra - Exercise 2.2 [Page 57]

APPEARS IN

Tamil Nadu Board Samacheer Kalvi Class 11th Mathematics Volume 1 and 2 Answers Guide
Chapter 2 Basic Algebra
Exercise 2.2 | Q 1. (iii) | Page 57
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