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  • Solve the inequality for real x x / 4 < (5x - 2) / 3 - (7x - 3) / 5

Solve the inequality for real x

    Q15.    \frac{x}{4}< \frac{(5x-2)}{3} - \frac{(7x-3)}{5}

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Given :   \frac{x}{4}< \frac{(5x-2)}{3} - \frac{(7x-3)}{5}

\Rightarrow      \frac{x}{4}< \frac{(5x-2)}{3} - \frac{(7x-3)}{5}

\Rightarrow \, \, \, \, 15x< 20(5x-2)-12(7x-3)

\Rightarrow \, \, \, \, 15x< 100x-40-84x+36

 \Rightarrow \, \, \, \, 15x< 16x-4

\Rightarrow \, \, \, \, 4< x

x are  real numbers greater than 4.

Hence, values of x can be  as  x\in (4,\infty)

Posted by

seema garhwal

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