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

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Q: What happens to the inequality when it is multiplied by a negative number?
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Related questions

What happens when both sides of a less than inequality are multiplied or divided by a negative number?

The inequality sign becomes greater than (&gt;).


When should an inequality sign be reversed?

When one side of the inequality is divided or multiplied by a negative number.


What happens when you multiply or divide an inequalitie by a negative number?

When an inequality is multiplied or divided by a negative number the inequality sign is reversed.Example : -x < 7 ......after multiplying by (say) -2 this becomes 2x > -14


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

When an Inequality expression is multiplied (or divided) by a negative number then the Inequality sign is reversed. Example : -9x &lt; 18 : -x &lt; 2 : x &gt; -2........as both sides have been multiplied by -1.


When solving an inequality when is it necessary to change the direction of the inequality symbol?

When the two sides of the inequality are multiplied or divided by a negative number or term or expression.


When do you change the direction of an inequality symbol?

When a side is multiplied or divided by a negative number.


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

yes it does


Explain what happens when both sides of an inequality is multiplied by a negative number give an example to support your answer?

The direction of the inequality is reversed. Note that the if the inequality included "or equals" before, then it will after. 4 &lt; 5 multiplied by -1 gives -4 &gt; -5 5 &gt;= 4 multiplied by -1 gives -5 &lt;= -4


What do you do with your inequality if you divide by both sides by a negative number?

If two sides of an inequality are multiplied (or divided) by a negative number, you have to invert the sign. For example, a "less-than" sign becomes a "greater-than" sign.


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.


When the inequality is multiplied both sides by a positive number what happens?

Nothing, you proceed as if the &lt; or &gt; was an =. If you're multiplying or dividing both sides by a negative, you flip the sign. e.g. &lt; would go to &gt;


How do you use inqualities?

If an inequality is multiplied or divided by a negative number then the inequality sign is switched. For example, -2x &gt; 4 then -2x/-2 &gt; 4/-2 then x &lt; -2.


How do you solve an inequality if you are left with a negative variable?

In the case of an inequality, if you mulitply by a negative number, you have to reverse the direction of the inequality. E.g.: -x &lt; 10 becomes: x &gt; -10 (Here, I multiplied by -1, and simultaneously reversed the direction of the inequality.)


What happens when you multiply a negative number by 1?

The negative number multiplied by one, the answer stays the same. for example -52 x 1 = -52


Is a positive number multiplied by a negative number a positive answer?

No No. Positive number multiplied by a negative number gives a negative number.


What is a negative number multiplied by a negative number?

A negative number multiplied by another negative number equals a positive number. For example, -5 &middot; -5 = positive 25.


If a is a negative number then a multiplied by the quantity 1 divided by a end of quantity is blank equal to negative 1. If a is a negative number and b is a negative number then product a multiplied?

1


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


What is -4 multiplied by -10?

6


What are the rule for dividing negative numbers?

The rules for dividing negative numbers is the same as multiplying them. A negative number multiplied/divided by a negative number is positive and a negative number multiplied/divided by a positive number is negative.


What happens if you add or subtract a value to both sides of an inequality?

The direction of the inequality remains unchanged. The direction changes when you divide or multiply both sides by a negative number. It also changes if both sides are raised to a negative exponent.


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 &gt; a iff** x &lt; -a This is easy to see intuitively by coloring a number line. ** "if and only if"


What is a negative number multiplied by a positive number?

a negative number


What is a positive number multiplied by a negative number?

a negative number


Negative number multiplied by negative number?

positive number