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Solve 4x+3<6x+7....

Solve `4x+3<6x+7`.

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To solve the inequality \(4x + 3 < 6x + 7\), we will follow these steps: ### Step 1: Rearranging the Inequality We start by moving all terms involving \(x\) to one side and constant terms to the other side. We can do this by subtracting \(6x\) from both sides and subtracting \(3\) from both sides. \[ 4x + 3 - 6x < 6x + 7 - 6x \] ...
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NCERT-LINEAR INEQUALITIES-SOLVED EXAMPLES
  1. Solve 3x + 2y > 6graphically.

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  2. Find all pairs of consecutive odd natural numbers, both of which are ...

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  3. Solve 7x + 3 < 5x + 9. Show the graph of the solutions on number line...

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  4. Solve (5-2x)/3lt=x/6-5.

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  5. The marks obtained by a student of Class XI in first and second termi...

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  6. Solve (3x-4)/2geq(x+1)/4-1. Show the graph of the solutions on number ...

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  7. Solve 30 x<200when(i) x is a natural number, (ii) x is an integer.

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  8. Solve 4x+3<6x+7.

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  9. Solve 5x-3<3x+1when (i) x is an integer, (ii) x is a real number.

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  10. A manufacturer has 600 litres of a 12% solution of acid. How many lit...

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  11. Solve the following system of linear inequalities graphically. x+ygeq...

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  12. Solve the following system of inequalities graphically 5x+4ylt=40 ...

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  13. Solve 3x-6geq0 graphically in two dimensional plane.

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  14. Solve y<2 graphically.

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  15. Solve -8lt=5x-3<7.

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  16. Solve -5lt=(5-3x)/2lt=8.

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  17. Solve the following system of inequalities 8x+3ylt=100 ...(1) xg...

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  18. Solve the following system of inequalities graphically x+2ylt=8 ...(...

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  19. Solve the system of inequalities : 3x-7<5+x, 11-5xlt=1 and represent...

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  20. In an experiment, a solution of hydrochloric acid is to be kept betwe...

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