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Solve the equation: (i) x+12lt4x-2. ...

Solve the equation:
(i) `x+12lt4x-2`.
(ii) `4x-7lt3-x`.

Text Solution

Verified by Experts

The correct Answer is:
(i) `((14)/(3),oo)`
(ii) `(-oo,2)`
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MODERN PUBLICATION-LINEAR INEQUATIONS-EXERCISE 6 (a) Short Answer Type Questions
  1. Solve the equation: (i) 3x-9lt0 (ii) -5x+25le0 (iii) 7x+4gt39 ...

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  2. Solve the equation: (i) x+10gt4x-5 (ii) 8x-2gt5x. (iii) 3x-10gt...

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  3. Solve the equation: (i) x+12lt4x-2. (ii) 4x-7lt3-x.

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  4. Solve the inequation: -(x-3)+4gt-2x+5

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  5. Solve the equation: (i) 3x+17le2(1-x). (ii) -2x+6le5x-4 (iii) 3(...

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  6. Solve the inequalities for real x : 37-(3x+5)geq9x-8(x-3)

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  7. Solve the equation: (i) (x-5)/(x+2)lt0 (ii) (6x-5)/(4x+1)lt0 (ii...

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  8. Solve the following linear inequation in R :(5x-6)/(x+6)<1

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  9. Solve the equation: (i) (7x-5)/(8x+3)gt4 (ii) (x)/(x-5)gt(1)/(2).

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  10. Solve the equation: (i) (3x-2)/(5)le(4x-3)/(2) (ii) (2(x-1))/(5)le...

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  11. Solve the equation: (i) (x-1)/(3)+4lt(x-5)/(5)-2 (ii) (5-2x)/(3)lt...

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  12. Solve the equation: (i) x+(x)/(2)+(x)/(3)lt11 (ii) (x)/(3)gt(x)/(2...

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  13. Solve the equation: (i) (5x)/(2)+(3x)/(4)ge(39)/(4) (ii) (5-2x)/(3...

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  14. Solve the equation: (4+2x)/(3)ge(x)/(2)-3.

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  15. (x)/(4) lt ((5x - 2))/(3) - ((7x - 3))/(5)

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  16. Solve the following linear inequation in R :(2x+3)/5-2<(3(x-2))/5

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  17. Solve the equation: (i) -8le5x-3lt7 (ii) 2le3x-4le5 (iii) -2le4-...

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  18. Solve the equation: (i) -5le(5-3x)/(2)le8 (ii) -15lt(3(x-2))/(5)le...

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  19. Solve the inequalities : 7lt=((3x+11))/2lt=11

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