When you multiply or divide by a negative number the order of the quantities is reversed. You can verify this by considering a simple example. We know that #1<2#, but when you multiply both numbers by #-1#, then the direction of the inequality is reversed #-1 > -2#.
Use the order of operations in reverse and remember that dividing or multiplying by a negative reverses the inequality
The order of operations is PEMDAS in reverse it is PESADM ( if you lose your cell phone in PE you are a SAD M(am)
Remember multiply or dividing by a negative reverses the value of the quality being divided or multiplied.
# + xx - = - #
# (-/-) = + #
# < xx (-) = >
# >/(-) = <#
Just do the order of operations in reverse as in solving an equation always doing the opposite. Then remember to reverse the inequality sign whenever the inequality is multiplied or divided by a negative.