For this case we have the following inequality:
[tex]- \frac {3} {2} (x- \frac {1} {3})> \frac {1} {5} -5x[/tex]
We apply distributive property on the left side:
[tex]- \frac {3} {2} x + \frac {3} {6}> \frac {1} {5} -5x[/tex]
We add 5x to both sides:
[tex]5x- \frac {3} {2} x + \frac {3} {6}> \frac {1} {5}\\\frac {7} {2} x + \frac {3} {6}> \frac {1} {5}[/tex]
We subtract[tex]\frac {3} {6}[/tex] on both sides:
[tex]\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}[/tex]
We divide between 7 on both sides:
[tex]x> - \frac {3} {35}[/tex]
Answer:
[tex]x> - \frac {3} {35}[/tex]
