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Solve the inequalities for real x : x/4...

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

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Given,`(x​)/4<(5x−2)/3​−(7x−3)/5​`
⇒`x/4​<(25x−10−21x+9​)/15`
⇒`x/4​<(4x−1)/15​`
⇒`15x<4(4x−1)`
⇒`15x<16x−4`
⇒`4<16x−15x`
⇒`4 < x`
Thus, all real numbers x, which are greater than 4, are the solution of the given inequality. ...
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RD SHARMA-LINEAR INEQUATIONS-Solved Examples And Exercises
  1. Solve 5x-3<3x+1 when (i) x is an integer, (ii) x is a real number.

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

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

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

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

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

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

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

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

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  10. Solve the following linear inequation: -3x+12 < 0

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  11. Solve the following linear inequation:\ 4x-12geq0

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  12. Solve the following linear inequation: \ 7x+9> 30

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  13. Solve the following inequation: 1/(x-2)<0

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  14. Solve the following inequation: (x+1)/(x+2)geq1

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  15. Solve the following linear inequation in R :\ \ 12 x<50 ,\ w h e n\ x ...

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  16. Solve the following linear inequation in R :\ \ 12 x<50 ,\ w h e n\ x ...

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  17. Solve the following linear inequation in R :\ -4x > 30 ,\ w h e n\ x i...

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  18. Solve the following linear inequation in R :\ -4x > 30 ,\ w h e n\ x i...

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  19. Solve the following linear inequation in R :\ -4x > 30 ,\ w h e n\ x i...

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  20. Solve the following linear inequation in R :\ 4x-2<8,\ w h e n\ x in ...

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