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Solve: (-1)/(|x|-2)geq1,w h e r ex in R...

Solve: `(-1)/(|x|-2)geq1,w h e r ex in R ,x!=+-2.`

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To solve the inequality \(\frac{-1}{|x| - 2} \geq 1\) where \(x \in \mathbb{R}\) and \(x \neq \pm 2\), we will follow these steps: ### Step 1: Rewrite the inequality We start with the inequality: \[ \frac{-1}{|x| - 2} \geq 1 \] This can be rewritten as: ...
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RD SHARMA-LINEAR INEQUATIONS-Solved Examples And Exercises
  1. Solve: (|x+3|+x)/(x+2)>1

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  2. Solve: (|x|-1)/(|x|-2)geq0,x in R ,x!=+-2.

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  3. Solve: (-1)/(|x|-2)geq1,w h e r ex in R ,x!=+-2.

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  4. Solve each of the following system of equations in Rdot 1lt=|x-2|l...

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  5. Solve each of the following system of equations in Rdot 1lt=|x-2|l...

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  6. Solve each of the following system of equations in Rdot 4/(x+1)lt=...

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  7. Solve: |x+2|<=5

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  8. Solve the following linear inequations: (x-3)/(x-5)>0 (ii) (x-2)/(x+5...

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  9. Solve the following linear inequations in Rdot (2(x+3))/4-3<(x-4)/3...

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  10. Solve the following linear inequations: (i) (x-3)/(x-5)>0 (ii) (x-2...

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  11. Solve the following linear inequations in Rdot (2(x+3))/4-3<(x-4)/...

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  12. Solve 5x-3<3x+1 when (i) x is an integer, (ii) x is a real number.

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  13. Solve the following equations: 2(2x+3)-10lt=6(x-2)

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  14. Solve the inequalities for real x : x/4<((5x-2))/3-((7x-3))/5

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  15. In the first four papers each of 100 marks, Rishi got 95 ,72 ,73 ,8...

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  16. Solve the following linear inequations in Rdot (5x)/2+(3x)/4geq(39)...

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  17. Solve the following linear inequations in Rdot (2(x+3))/4-3<(x-4)/3...

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  18. Solve each of the following system of equations in Rdot 1lt=|x-2...

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  19. Solve each of the following system of equations in Rdot 1lt=|x-2|l...

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  20. Solve the following linear inequation: 2x-4=0

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