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Solve the inequalities and show the graph of the solution in each case on number line : `3x-2<2x+1`

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To solve the inequality \(3x - 2 < 2x + 1\), we will follow these steps: ### Step 1: Rearrange the inequality We want to isolate \(x\) on one side of the inequality. Start by subtracting \(2x\) from both sides: \[ 3x - 2 - 2x < 2x + 1 - 2x \] ...
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NCERT ENGLISH-LINEAR INEQUALITIES-EXERCISE 6.1
  1. Solve the inequalities for real x : x/4<((5x-2))/3-((7x-3))/5

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

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

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

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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 and show the graph of the solution in each cas...

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

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

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

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

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

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

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

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

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

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

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

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

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  19. The longest side of a triangle is three times the shortest side and th...

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  20. Solve the inequalities for real x : 3(2-x)geq2(1-x)

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