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Solve : (|x + 4| +x )/(x + 1) gt 1, x ne...

Solve : `(|x + 4| +x )/(x + 1) gt 1, x ne -1`

A

`(-5, -3) cup (-1, infty)`

B

`(-5, -3) cup [-1, infty)`

C

`(-5, -3] cup (-1, infty)`

D

`(-5, -3) cup (1, infty)`

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The correct Answer is:
A

`(-5, -3) cup (-1, infty)`
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NAGEEN PRAKASHAN-LINEAR INEQUALITIES-EXERCISE
  1. Solve : |(2)/(x-3)| gt 1, x ne 3

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  2. Solve : (|x|-1)/(|x|-2) ge 0, x ne pm 2

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  3. Solve : (|x + 4| +x )/(x + 1) gt 1, x ne -1

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  4. Solve : | x - 1 |+ |x -2| ge 3

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  5. Solve : | x - 1| + |x - 2| + | x - 3 | gt 6

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  6. Solve : | x-3| + | x - 5| gt 9

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  7. Find all pairs of consecutive odd integers both of which are smaller...

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  8. Find all pairs of consecutive even integers both of which are greater ...

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  9. Find all pairs of consecutive even integers both of which are greater ...

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  10. A student obtained 60, 62, 64 and 66 marks in 4 subjects in an examina...

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  11. A student obtained 62 and 48 marks in the first and secound examinati...

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  12. The water aciditiy in a pond is considered normal when the average pH...

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  13. The longest side of a triangle is three times the shortest side and th...

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  14. A man wants to cut three lengths from a single piece of board of lengt...

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  15. A solution is to be kept between 50^(@) F and 68^(@)F . What is the ra...

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  16. A solution is to be kept between 40^(@) C and 60^(@)C . What is the r...

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  17. How many litres of water will have to be added to 1125 litres of the 4...

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  18. A solution of 8% boric acid is to be diluted by adding a 2% boric acid...

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  19. If the cost and revenue function of a product are respectively C(x) = ...

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  20. 2x + 5y ge 10

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