Almost. There's one new rule, which is that whenever you multiply or divide by a negative number, you have to flip the inequality sign. To see why, try achieving the same result without this step, using positive factors and subtraction: the equation must effectively flip itself around the sign.
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More or less, but there are some additional rules for inequalities.Mainly, when multiplying or dividing by a negative number, you need to invert the inequality sign. For example, a "greater-than-or-equal" will become a "less-than-or-equal". You need to be careful here when multiplying or dividing variables - you may need to consider the two cases, that the variable is positive and that it is negative, separately.
Not exactly. The direction of the inequality needs to be swapped when an inequality is mulyiplied or divided by a negative number.
To solve it by coordinate graphs you would take a point from the line and plug in the X and Y value into the equations and or inequalities.
x-2\x+4=x+1\x+10
Unlike equations (or inequalities), identities are always true. It is, therefore, not possible to solve them to obtain values of the variable(s).
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.
In the same wasy as you solve equations except that if you multiply or divide both sides by a negative number, then the inequality changes direction.