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

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###### 2010-12-01 05:09:26

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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## Related Questions

When an inequality is multiplied or divided by a negative number the inequality sign is reversed.Example : -x -14

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

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.

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 a side is multiplied or divided by a negative number.

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

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.

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.)

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.

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;

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.

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

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

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

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

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.

The inequality sign changes direction. So 2&lt;3 Multiply by -2 and you get -4&gt;-6 (similarly with division).

40 (a negative number multiplied by a negative number is always a positive number.)

no. a negative multiplied by a negative is a positive.

A negative number multiplied by a negative number will result in a positive answer.

Multiplying anything non-zero by a negative number changes the sign. A positive number multiplied by a negative number becomes negative. A negative number multiplied by a negative number becomes positive.

The answer of a negative number multiplied by (or divided by) a positive number will be a negative number.

A negative number multiplied by a negative yields a positive answer.

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