Solve by multiplication principle

Question

-2x is greater than 1/9
answer: x is greater than -1/18

Answer 1

- 2 x > 1/9
divide both sides by - 2 AND change direction of arrow
x < -1/18
when you multiply (divide) both sides of an inequality by a negative, you reverse the arrow

Answer 2

Thank you

Answer 3

Think about
-x > 1
that would be everything to the left of -1

Now do the algebra, multiply both sides by -1 and reverse arrow:
x < -1 sure enough