I suspect you mean the signs < and > meaning "less than" or "greater than". (There is no flip of the inequality sign, which is an equals sign with a line through it). You have to flip when you multiply a "greater or less than" eqequation if you multiply the equatiob through by -1. Example: you have 2>1, and -2<-1.
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Yes you do, you also flip the inequality sign if you multiply by a negative # The > and < signs are strictly the "Greater than" and "Less than" signs. The inequality sign is an = with a / stroke through it. If you divide an inequality by -1 it remains an inequality.
The inequality symbol.
negative flip
The inequality symbol for less than or equal to: ≤
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