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You have to flip the inequality sign. If it is less than(<) it has to become greater than(>). If it is greater than(>), it has to become less than(<). If it is less than equal to(<=), it has to become greater than equal to(>=). If it is greater than equal to(>=)., it must become less than equal to(<=).

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Q: What rule must be applied to inequalities when you divide or multiply by a negative number?

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whenever you multiply or divide by a negative number

Treat it like a normal equation. Except if you divide/multiply by a negative number you reverse the inequality. That's basically it.

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.

You will end up with a positive number. With integers, if you multiply or divide an even amount of negative numbers, the answer will be positive and if you multiply or divide an odd amount, the answer will be negative.

the answer becomes negative

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.

Solve like any other math equation. One thing to remember; if you multiply or divide through by a negative number, reverse the inequality.

same way you do equalities, just remember to change the greater or lesser than sign around if you multiply or divide by a negative number.

You solve an inequality in exactly the same was as you solve an equation, by doing the same thing to both sides. The only difference is if you multiply/divide by a negative number, when you have to turn the inequality around.

Adding negatives? You get a negative. But if you multiply/divide 2 negatives, that's a positive.

You can multiply or divide it by any negative number.

You multiply the negative number by the reciprocal of the fraction.

The difference is that instead of the sign "=", an inequality sign, for example "<" (less-than) is used. For solving inequalities, you can add, subtract, multiply or divide both sides by the same number, similar to an equation; however, if you multiply or divide by a negative number, the direction of the inequality changes. For example, "<" becomes ">".

Only when what you're multiplying by/dividing by is negative.

Only when you divide or multiply.

4 x -2= -8 if the signs are the same when you multiply or divide, it's positive. if the signs are different when you multiply or divide, it's negative.

When you divide or multiply two negative numbers they cancel each other out and you have a positive answer. We are measuring relationships instead of moving on a number line like addition or subtraction.

If you multiply or divide the numbers, the answer will be negative.

yes ... and so?

The usual case is when you multiply or divide an inequality by a negative number.

you flip the sign if you multiply or divide by a negative

-7

Most of the steps are the same. The main difference is that if you multiply or divide both sides of an inequality by a NEGATIVE number, you must change the direction of the inequality sign (for example, change "less than" to "greater than").

It depends on the form of the inequality, 1 or 2 variables etc. But in general, try solving it like an equality but remember to change the less than or greater than signs if you multiply or divide by a negative number. If you want to post an example question, that would be great.

Change the direction of the inequality.