Tamil Nadu Board of Secondary EducationHSC Science Class 11th

Solve 15|10x-2|<1 - Mathematics

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Sum

Solve `1/5|10x - 2| < 1`

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Solution

Given `1/5|10x - 2| < 1`

|10x – 2| < 5

– 5 < (10x – 2) < 5

– 5 + 2 < 10x < 5 + 2

– 3 < 10x < 7

`- 3/10 < x < 7/10`

∴ The solution set is x ∈ `(- 3/10, 7/10)`

Concept: Absolute Value
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