Verified Answer :

whenever u multiply or divide an inequality by a negative number u must flip the inequality sign 

Here is some rules that can help:

if a >= b

then
a - b >= 0 (subtracting b from both sides)

and -b >= -a (subtracting a from both sides)

so that
 -a <= -b (rewriting the inequality in reverse)

 This shows that when you multiply an inequality by -1 (which is part
of what you do when you divide by a negative number), you reverse the
inequality.