Solve the given inequality and show the graph of the solution on number line:

$$\dfrac{x}{2}≥\dfrac{(5x-2)}{3}-\dfrac{(7x-3)}{5}$$

Asked by Pragya Singh | 1 year ago |  106

##### Solution :-

$$\dfrac{x}{2}≥\dfrac{(5x-2)}{3}-\dfrac{(7x-3)}{5}$$

$$\dfrac{x}{2}≥\dfrac{5(5x-2)-3(7x-3)}{15}$$

$$\dfrac{x}{2}≥\dfrac{25x-10-21x+9}{15}$$

=$$\dfrac{x}{2}≥\dfrac{4x-1}{15}$$

$$15x≥2(4x-1)$$

$$15x≥8x-2$$

=$$15x-8x≥8x-2-8x$$

$$7x≥-2$$

$$x≥-\dfrac{2}{7}$$

The graphical representation of the solutions of the given inequality is as follows.

Answered by Abhisek | 1 year ago

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