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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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8y ago
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8y ago

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.

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8y ago

Not exactly. The direction of the inequality needs to be swapped when an inequality is mulyiplied or divided by a negative number.

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Q: Do the same rules apply when you solve equations and inequalities?
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