Solve the inequalities for real x- x 4 - 5x-2 3 - 7x-3 5

#10; #10;Given that: #160; #160; x4 lt;5x 23 7x 35 #10; #10; #10; #160; x4 lt;25x 10 21x+915 #10; #160; #160; #160; ...

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Law of Reciprocal

Solve the ine...

Question

Solve the inequalities for real $x$ .
$\frac{x}{4} < \frac{(5 x - 2)}{3} - \frac{(7 x - 3)}{5}$

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Solution

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x

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

\frac{5 x - 2}{3} - \frac{7 x - 3}{5} > \frac{x}{4}

x

4 x + 3 < 5 x + 7

x

\frac{3 (x - 2)}{5} \leq \frac{5 (2 - x)}{3}

Solve the given inequality for real x: 4x + 3 < 5x + 7

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