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Answered by Novalios24
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Answered by Anonymous
29

Given :-

 \frac{2x - 3}{4}  + 9≥ 3 +  \frac{4x}{3}

To Find :-

The value of "x" .

Solution :-

 \frac{2x - 3}{4}  + 9≥3 +  \frac{4x}{3}

Separating LCM of LHS we get ,

 \frac{2x}{4}  -  \frac{3}{4}  +  \frac{9}{1} ≥ \frac{3}{1}  +  \frac{4x}{3}

 \frac{x}{2}  -  \frac{3}{4}  +  \frac{9}{1}  -  \frac{3}{1}  -  \frac{4x}{ 3} ≥0

 \frac{6x - 9 + 108 - 36 - 16x}{12}≥0

 \frac{ - 10x + 63}{12} ≥0

Again Separating LCM we have ,

 \frac{ - 10x}{12}  +  \frac{63}{12}≥0

 \frac{ - 5x}{6}  +  \frac{21}{4} ≥0

 \frac{5x}{6} ≤ \frac{21}{4}

x ≤  \frac{21 \times 6}{4 \times 5}

x≤   \frac{63}{10}

x≤6.3

Henceforth , x ≤ 6.3

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