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.
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.
Yes, when you divide or multiply an inequality by a negative number, you must reverse the inequality sign. For example, if ( a < b ) and you multiply both sides by a negative number ( -c ), the inequality becomes ( -ac > -bc ). This change is necessary to maintain the truth of the inequality.
Yes you do, you also flip the inequality sign if you multiply by a negative # The > and < 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.
No. Only when you divide by a negative.
dividing by one third is the same as multiplying by three
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.
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.
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
You divide as normal BUT you change the direction of the inequality symbol, so that < becomes > and conversely.
The inequality sign changes direction. So 2<3 Multiply by -2 and you get -4>-6 (similarly with division).
Yes you do, you also flip the inequality sign if you multiply by a negative # The > and < 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 by a negative value
The usual case is when you multiply or divide an inequality by a negative number.
No. Only when you divide by a negative.
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.
dividing by one third is the same as multiplying by three
When you divide both sides of an inequality by a negative number, the inequality sign flips.