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Solve each of the following system of eq...

Solve each of the following system of equations in `Rdot` `|x+1|+|x|>6`

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For this case, `|x–1| = –(x–1), |x–2| = –(x–2) and |x–3|`
`= –(x–3) ⇒ –(x–1+x–2+x–3+6) ≥ 0`
⇒ `x–1+x–2+x–3+6 < 0
⇒ 3x<0` ⇒ `x<0 ⇒ x∈ (–∞ , 0)`
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RD SHARMA-LINEAR INEQUATIONS-Solved Examples And Exercises
  1. write the solution set of inequation: |1/(x-2)| &lt;4,x!=4.

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  2. Solve each of the following system of equations in Rdot |x-1|+|x...

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  3. Solve each of the following system of equations in Rdot |x+1|+|x|>...

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  4. Solve each of the following system of equations in Rdot 1/(|x|-3)l...

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  5. Solve: |x-1|+|x-2|geq4

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  6. Solve: (|x-1|-1)/(x+2)<1.

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  7. write the solution set of inequation: |1/(x-2)| &lt;4,x!=4.

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  8. Solve: (|x+3|+x)/(x+2)>1

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

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

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

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

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

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

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

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

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

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

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

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

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