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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;).


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 should an inequality sign be reversed?

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


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


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 do you change the direction of an inequality symbol?

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


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.


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

yes it does


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 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.


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.


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;