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If -3x+17<-13 ,\ t h e n x in (10 ,oo) ...

If `-3x+17<-13 ,\ t h e n` `x in (10 ,oo)` b. `x in [10 ,oo)` c. `x in (-oo,\ 10]` d. `x in [-10 , 10)`

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Correct option is A
`-3x + 17 lt -13`
`-3x + 17 +13 lt 0`
`-3x + 30 lt 0`
`30 lt 3x`
`10 lt x = x gt = x in (10,∞ )`
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RD SHARMA-LINEAR INEQUATIONS-Solved Examples And Exercises
  1. Solve the following systems of inequation graphically: \ +ygeq10 ,\ 2x...

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  2. Show that the solution set of the following system of linear inequal...

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  3. Write the following set of the inequation (x^2)/(x-2)> 0.

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  4. Write the solution set of the inequation x+1/xgeq2.

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  5. Write the solution set of the equation |2-x|=x-2.

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  6. Writhe the set of values of x satisfying |x-1|lt=3\ a n d\ |x-1|lt=1.

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  7. The number of integral solutions of (x+2)/(x^2+1)>1/2 is 4 2. 5 3. ...

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  8. Write the solution set of the inequation |x-1|geq|x-3|dot

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  9. If <7 then x<-7 b. xlt=7 c. x >-7 d. xgeq-7

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  10. If -3x+17<-13 ,\ t h e n x in (10 ,oo) b. x in [10 ,oo) c. x in (-oo...

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  11. Given that x , y\ a n d\ b are real numbers and x<<y ,\ b>>0 then x/b...

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  12. If x is a real number and |x|<5, then xgeq5 b. -5<x<5 c. xlt=-5 d. -5...

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  13. If x\ a n d\ a are real numbers such that a >0 and |x|> a , then x in ...

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  14. If |x-1|>5, then a. x in (-4,6) b. x in [-4,6] c. x in (-oo,-4)u...

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  15. If |x+2|lt=9 then x in (-7, 11) b. x in [-11 ,7] c. x in (-oo,7)uu(11...

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  16. The inequality representing the following graph is |x|<3 b. |x|lt=3 c....

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  17. The linear inequality representing the solution set given in gig. 15.4...

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  18. The solution set of the inequation |x+2|lt=5 is (-7,5) b. [-7,3] c. [-...

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  19. If |x+3|geq10 , then x in (-13 ,\ 7] b. x in (-oo,-13)uu(7,oo) c. x i...

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  20. If (|x-2|)/(x-2)geq0, then x in [2,oo) b. x in (2,oo) c. x in (-oo,2)...

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