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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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1mo 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).


When you divide or multiply an inequality by a negative number does it effect the inequality sign?

Yes, when you divide or multiply an inequality by a negative number, you must reverse the inequality sign. For example, if ( a &lt; b ) and you multiply both sides by a negative number ( -c ), the inequality becomes ( -ac &gt; -bc ). This change is necessary to maintain the truth of the inequality.


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 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.


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.


What happens if you divide one third?

dividing by one third is the same as multiplying by three


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.