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It changes because the number may be lesser than the original equation. The greater the negative number the more likely the inequality sign will change.

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Q: Why does the inequality sign change when both sides are multilpied or divided by a negative number.Does this happen to equations?
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Related questions

Does the inequality signs change when both sides are multiplied by a negative number in equations?

yes it does


What is the similarities of solving equations and inequalities?

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.


Why does the inequality sign change when both sides are multiplied or divided by a negative number Does this happen with equations Why or why notWrite an inequality for your classmates to solve I?

-x > a iff** x < -a This is easy to see intuitively by coloring a number line. ** "if and only if"


Do you flip the inequality sign if the only the variable is negative?

No, you only flip the inequality sign if you are dividing by a negative number on both sides of the inequality


How do you solve inequalities using addition subtraction multiplication and division.?

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.


Explain how solving inequalities is alike and different from solving equations?

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").


What happens to the inequality when it is multiplied by a negative number?

The inequality is "flipped" when multiplied by a negative number. For example, if x > y and a is a negative number, then ax < ay.


Why does inequality sign change when both sides are multiplied or divided by a negative number Does this happen with equations why or why not?

I cannot tell you why it changes however it does happen with an equation as most inequalities start off in an equation.


If you multiply an inequality by a negative number when should you reverse the inequality symbol?

Always.


What is the difference between solving multi step equations and multi step inequalities?

The main difference is that if you multiply both sides of an inequality by a negative number, you have to change the direction of the inequality sign - for example "greater than" would become "less than".


Do you only flip the inequality when you divide by a negative number?

Yes you do, you also flip the inequality sign if you multiply by a negative # The > and < signs are strictly the "Greater than" and "Less than" signs. The inequality sign is an = with a / stroke through it. If you divide an inequality by -1 it remains an inequality.


How do you solve algebra inequalities?

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.