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  • Solve the inequality for real x 1 / 2 ( 3x / 5 + 4) greater than or equal to 1 / 3 ( x - 6)

Solve the inequality for real x

    Q12.    \frac{1}{2}\left(\frac{3x}{5} + 4 \right ) \geq \frac{1}{3}(x - 6)

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best_answer

Given :   \frac{1}{2}\left(\frac{3x}{5} + 4 \right ) \geq \frac{1}{3}(x - 6)

\Rightarrow      \frac{1}{2}\left(\frac{3x}{5} + 4 \right ) \geq \frac{1}{3}(x - 6)

\Rightarrow \, \, 3\left(\frac{3x}{5} + 4 \right ) \geq 2(x - 6)

\Rightarrow \, \, \frac{9x}{5} + 12 \geq 2x-12

\Rightarrow \, \, 12+12 \geq 2x-\frac{9x}{5}

 \Rightarrow \, \, 24 \geq \frac{x}{5}

\Rightarrow \, \, 120 \geq x

x are  real numbers less than equal to 120.

Hence, values of x can be  as  x\in (-\infty,120 ].

Posted by

seema garhwal

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