answersLogoWhite

0

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.

User Avatar

Wiki User

12y ago

What else can I help you with?

Continue Learning about Math & Arithmetic

Can you divide both sides of the equation by a negative number?

Yes, you can divide both sides of an equation by a negative number, but it is important to remember that this action will reverse the inequality if the equation involves one. For example, if you have an inequality like ( x > y ) and you divide both sides by a negative number, the inequality changes to ( x < y ). In the case of an equation, however, the equality remains valid.


If you multiply or divide both sides of an inequality by a number you need to reverse the inequality sign?

negative flip


What happens to the inequality sign when you divide by a negative integer?

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.


What must you do when you multiply or divide each side of an inequality by a negative number?

When you multiply or divide each side of an inequality by a negative number, you must reverse the direction of the inequality sign. For example, if you have ( a < b ) and you multiply both sides by a negative number, the inequality changes to ( -a > -b ). This reversal is crucial to maintain the correct relationship between the two sides of the inequality.


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 < 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.

Related Questions

Can you divide both sides of the equation by a negative number?

Yes, you can divide both sides of an equation by a negative number, but it is important to remember that this action will reverse the inequality if the equation involves one. For example, if you have an inequality like ( x > y ) and you divide both sides by a negative number, the inequality changes to ( x < y ). In the case of an equation, however, the equality remains valid.


If you multiply or divide both sides of an inequality by a number you need to reverse the inequality sign?

negative flip


When you divide both sides of any inequality by a negative number you need to what the inequality symbol?

Flip it around


What happens to the inequality sign when you divide by a negative integer?

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.


What must you do when you multiply or divide each side of an inequality by a negative number?

When you multiply or divide each side of an inequality by a negative number, you must reverse the direction of the inequality sign. For example, if you have ( a < b ) and you multiply both sides by a negative number, the inequality changes to ( -a > -b ). This reversal is crucial to maintain the correct relationship between the two sides of the inequality.


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.


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 < 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.


When you must reverse the inequality sign?

When solving an inequality, you must revers the inequality sign when you multiply (or divide) both sides by a negative number.


If you multiply or divide both sides of an inquality by a negative number you need to?

Change the direction of the inequality.


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.


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

When you divide both sides by a negative value


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.