1.

Solve the linear Inequations in R.x/5 < (3x - 2)/4 – (5x - 3)/5

Answer»

Given as x/5 < (3x - 2)/4 – (5x - 3)/5

x/5 < [5(3x - 2) – 4(5x - 3)]/4(5)

x/5 < [15x – 10 – 20x + 12]/20

x/5 < [2 – 5x]/20

Multiplying both the sides by 20 we get,

x/5 × 20 < [2 – 5x]/20 × 20

4x < 2 – 5x

4x + 5x < 2 – 5x + 5x

9x < 2

Dividing both sides by 9, we get

9x/9 < 2/9

x < 2/9

Therefore, the solution of the given inequation is (-∞, 2/9).



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