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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​<(5**(5x−2)−3**(7x−3))/15`
`⇒x/4​<(25x−10−21x+9​)/15`
`⇒x/4​<(4x−1)/15​`
`⇒15x<4(4x−1)`
`⇒15x<16x−4`
`⇒4<16x−15x`
`⇒4
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NCERT ENGLISH-LINEAR INEQUALITIES-EXERCISE 6.1
  1. Solve the inequalities for real x : 2(2x + 3) -10 < 6(x -2)

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

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

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

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

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

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

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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 : 3x - 7 > 5x - 1

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

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

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  12. Solve the inequalities for real x : 4x + 3 < 5x + 7

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

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

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

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

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

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  18. To receive Grade ‘A’ in a course, one must obtain an average of 90 ma...

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  19. Find all pairs of consecutive odd positive integers both of the which ...

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  20. Find all pairs of consecutive even positive integers, both of which ar...

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