1 Answer

Igor Semenov · Answer 1 · 2020-02-26T10:47:36+0000

For this case we have the following inequality:

$- \frac {3} {2} (x- \frac {1} {3})> \frac {1} {5} -5x$

We apply distributive property on the left side:

$- \frac {3} {2} x + \frac {3} {6}> \frac {1} {5} -5x$

We add 5x to both sides:

$5x- \frac {3} {2} x + \frac {3} {6}> \frac {1} {5}\\\frac {7} {2} x + \frac {3} {6}> \frac {1} {5}$

We subtract
$\frac {3} {6}$ on both sides:

$\frac {7} {2} x> \frac {1} {5} - \frac {3} {6}\\\frac {7} {2} x> - \frac {9} {30}\\7x> - \frac {18} {30}\\7x> - \frac {3} {5}$

We divide between 7 on both sides:

$x> - \frac {3} {35}$

Answer:

$x> - \frac {3} {35}$

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