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Solve the inequalities for real x : x/3>...

Solve the inequalities for real x : `x/3> x/2+1`

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Given,`x/3>x/2​+1`
Multiply by 6 on both sides, we get
`=>6×x/3​>6×x/2​+6×1`
`=>2x>3x+6`
`=>2x−3x>3x−3x+6`
`=>−x>6`
`=>x<−6`
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NCERT-LINEAR INEQUALITIES-EXERCISE 6.1
  1. A man wants to cut three lengths from a single piece of board of leng...

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  2. Solve the inequalities for real x : (3(x-2))/5lt=(5(2-x))/3

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  3. Solve the inequalities for real x : x/3> x/2+1

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  4. Solve the inequalities for real x : 2(2x + 3) -10 < 6(x -2)

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  5. Solve the inequalities for real x : 1/2((3x)/5+4)geq1/3(x-6)

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

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

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  8. Solve the inequalities and show the graph of the solution in each cas...

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  9. Solve the inequalities for real x : ((2x-1))/3geq((3x-2))/4-((2-x))/5

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  10. Solve the inequalities and show the graph of the solution in each cas...

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  11. Solve the inequalities and show the graph of the solution in each cas...

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  12. Solve the inequalities for real x : 3x - 7 > 5x - 1

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  13. Solve the inequalities for real x : 3(x-1)lt=2(x-3)

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  14. Solve 3x + 8 > 2, when (i) x is a natural number. (ii) x is an inte...

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  15. Solve the inequalities for real x : 4x + 3 < 6x + 7

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  16. Solve -12 x > 30, when (i) x is a natural number. (ii) x is an int...

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  17. Solve 5x - 3 < 7, when (i) x is a natural number. (ii) x is an inte...

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  18. Solve 24 x<100, when (i) x is a natural number. (ii) x is an integ...

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  19. Solve the inequalities and show the graph of the solution in each cas...

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  20. Ravi obtained 70 and 75 marks in first two unit tests. Find the numbe...

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