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When you divide or multiply both sides of an inequality by a negative integer, the inequality sign must be reversed. For example, if you have the inequality (a < b) and you divide both sides by a negative number, the resulting inequality will be (a / (-n) > b / (-n)), where (n) is a positive integer. This reversal is necessary to maintain the truth of the inequality.

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1w ago

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Related Questions

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 sign do you get when you divide a positive integer by a negative integer?

If you divide a positive number (it doesn't really matter if it is an integer or a fraction) by a negative number, the result is negative.


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


How do you divide by a negative in an inequality?

You divide as normal BUT you change the direction of the inequality symbol, so that &lt; becomes &gt; and conversely.


What happens if you multiply or divide an inequality by a negative number?

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


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 &gt; and &lt; 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.


When solving an inequality when do you reverse the inequality sign?

When you divide both sides by a negative value


When you have to reverse the inequality sign?

The usual case is when you multiply or divide an inequality by a negative number.


When you divide both sides of an inequality by a positive value you must change the direction of the inequality sign?

No. Only when you divide by a 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.


What happens if you divide one third?

dividing by one third is the same as multiplying by three


When is the only time you flip an inequality sign?

When you divide both sides of an inequality by a negative number, the inequality sign flips.