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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-2|+|x-3|geq6`

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This question contains a modulus operator so we have to do it in two steps. Initially eliminate the modulus sign by giving negatively to each term. This is the modulus operator. ` |x-1|+|x-2|+|x-3| geqslant 6 ` `operatorname{step} 1 !-+(x-1+x-2+x-3) geqslant 6` `` begin{aligned} &Rightarrow 3 x-6 geqslant 6 ...
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RD SHARMA-LINEAR INEQUATIONS-Solved Examples And Exercises
  1. Solve each of the following system of equations in Rdot (|x-1|-1)/...

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

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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 |x+1|+|x|>...

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

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

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

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

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

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

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

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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 1lt=|x-2|l...

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

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

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

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

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

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

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