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Solve the following inequation: |7x – 4| < 10 - Mathematics and Statistics

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Sum

Solve the following inequation: |7x – 4| < 10

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Solution

|7x – 4| < 10
– 10 < 7x – 4 < 10 .......[|x| < k is same as − k < x < k]
Adding 4 on both sides, we get
– 6 < 7x < 14
Dividing both sides by 7, we get
`- 6/7 < "x" < 14/7`
∴ `- 6/7 < "x" < 2`
∴ x takes all real values between `-6/7` and 2.
∴ Solution set = `(-6/7,2)`

Concept: Solution of Linear Inequality
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APPEARS IN

Balbharati Mathematics and Statistics 2 (Commerce) 11th Standard HSC Maharashtra State Board
Chapter 8 Linear Inequations
Exercise 8.1 | Q 2. (iv) | Page 116
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