Somewhat, but the rules are a bit different for inequalities. Example.
-2X > 4
X < - 2
See, sign changes when dividing by negative coefficient.
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Algebraic inequalities can be solved in the same fashion as algebraic equations. The goal here, as in algebraic equations, is to isolate the variable. The one thing to remember, however, is that when dividing or multiplying both sides by a negative number, one must switch the inequality sign.
Yes
Yes.
They are called simultaneous equations.
No....not necessary