Not always. Specifically, you switch the sign when you multiply or divide both sides of the inequality BY A NEGATIVE NUMBER. Example:4 > 3
Multiplying by -2:
-8 < -6
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equations have an = sign, inequalities do not
The main difference is that when solving inequalities, if you multiply or divide by a negative number you have to be careful, since you then also have to switch the sign (for example, change a "less-than" sign to a "greater-than" sign). If you multiply or divide by an expression that contains a variable, you have to consider the two cases: that such an expression might be positive, or that it might be negative.
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.
Compound inequalities are inequalities that have more than one sign, for example, 5
Since there is no inequality sign, those are not inequalities. An inequality sign is normally one of the following: greater than; less than; great-or-equal; less-than-or-equal.