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Q: Why does the inequality symbol change when you multiply or divide both sides of an inequality by a negative number. Does the same thing happen with equations?
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Does an inequality change when you multiply by a negative?

Yes you have to flip the sign.


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

yes it does


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 symbol when you subtract a negative number?

The inequality symbol doesn't change direction in this case.Note that that is the same as adding a positive number.Note also that if you MULTIPLY or DIVIDE by a negative number, then you need to change the direction of the inequality symbol.


If you multiply or divide both sides of an inquality by a negative number you need to?

Change the direction of the inequality.


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

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.


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".


How do you solve the inequality2x -10 6?

This isn't an inequality, since there is no less-than, greater-than, less-than-or-equal, or greater-than-or-equal sign. However, solving inequalities is similar to solving equations; however, when you multiply by a negative number, you must change the direction of the inequality sign.


When you multiply both sides of any inequality by a negative number you need to do what to the inequality symbol?

You need to change it to the opposite direction; e.g 5 > 1; multiply both sides by -2 it becomes -10 < -2


Does an inequality sign change in an equation when both sides are multipled or divided by negative number?

The sign changes if you multiply/divide by a negative number. It stays the same if you add/subtract by a negative number.


What do you need to do to the inequality sign if you multiply or divide both sides of an inequality by a negative number?

Leave it alone. You cannot make an inequality into an equality by multiplying both sides of the inequation by the same number. If instead of the inequality sign you are using a lesser or greater than sign, however, you will need to reverse it if you multiply both sides by the same negative number, e.g. 10>4. If you multiply both sides by -2, you need to change the > into a <, so -20<-8


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"