the inequality sign will only change in an equation if you are multiplying or dividing by a negative number...
for example if you have the equation -1x+2>3 you would subtract by 2
you would have -1x>1
the next step is -1x>1
-1 -1
your dividing by -1 so the sign flips from greater than to less than (it can go less than to greater than too) and your final answer would be x<-1
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Yes you have to flip the sign.
The inequality sign opens towards the bigger number.
An inequality must have a greater than sign (>) OR a less than sign (<) OR a greater than or equal to sign (≥) OR a less than or equal to sign (≤).
If the inequality has a > or ≥ sign, you shade above the line. If the inequality has a < or ≤ sign, you shade below it. Obviously, just an = is an equation, not an inequality.
john