Your inequality

-7x > 1/15

can be solved by

(-1/7)(-7x) < (-1/7)(1/15)

x < -1/(7*15)

-7x > 1/15

can be solved by

**multiplying both sides by -1/7**. Because this is a negative number, the direction of the inequality must be reversed.(-1/7)(-7x) < (-1/7)(1/15)

x < -1/(7*15)

**x < -1/105**