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Why does the order of quantities matter in an inequality?

The order of quantities in an inequality matters because it determines the relationship between the values being compared. Changing the order can reverse the direction of the inequality. For example, if ( a < b ), this means ( b ) is greater than ( a ); however, if we switch them to ( b < a ), the relationship is entirely different. Therefore, maintaining the correct order is crucial for accurately expressing the intended comparison.


When solving an inequality you must reverse the order of the inequality whenever you multiply both sides of the inequality by any number.?

You only need to reverse the order of the inequality when multiplying or dividing both sides by a negative number. If you multiply or divide by a positive number, the order of the inequality remains the same. This is crucial to maintain the truth of the inequality. Always be cautious about the sign of the number you are using in these operations.


Why do we flip the inequality symbol when multiplying or dividing by a negative number.?

We flip the inequality symbol when multiplying or dividing by a negative number because it preserves the logical relationship between the quantities involved. For example, if ( a < b ) and we multiply both sides by a negative number, the direction of their relationship changes; thus, ( -a > -b ). This is due to the nature of the number line, where multiplying or dividing by a negative number reverses the order of the numbers. Therefore, flipping the symbol ensures that the inequality remains true.


Which property says that the product of a group of quantities is not dependent on the order in which the quantities are multiplied?

Commutative Property of Addition


Does the order of numbers matter for set form in algebra?

No, Order does not matter

Related Questions

Why does the order of quantities matter in an inequality?

The order of quantities in an inequality matters because it determines the relationship between the values being compared. Changing the order can reverse the direction of the inequality. For example, if ( a < b ), this means ( b ) is greater than ( a ); however, if we switch them to ( b < a ), the relationship is entirely different. Therefore, maintaining the correct order is crucial for accurately expressing the intended comparison.


What steps can a father take if the mother isn't abiding by the stipulated child support order?

This is a legal matter. The father must return to the court that issued the child support order and file a motion for contempt of a court order. He can explain in his motion how the mother is in violation.This is a legal matter. The father must return to the court that issued the child support order and file a motion for contempt of a court order. He can explain in his motion how the mother is in violation.This is a legal matter. The father must return to the court that issued the child support order and file a motion for contempt of a court order. He can explain in his motion how the mother is in violation.This is a legal matter. The father must return to the court that issued the child support order and file a motion for contempt of a court order. He can explain in his motion how the mother is in violation.


When solving an inequality you must reverse the order of the inequality whenever you multiply both sides of the inequality by any number.?

You only need to reverse the order of the inequality when multiplying or dividing both sides by a negative number. If you multiply or divide by a positive number, the order of the inequality remains the same. This is crucial to maintain the truth of the inequality. Always be cautious about the sign of the number you are using in these operations.


How do you explain the growing inequality in America?

greed, racism, and war-mongering perpetuated by corporations and the politicians they own in order to distract the masses while they are being robbed of their labor and money.


How do you solve the inequality x-46?

This isn't an inequality, but a mathematical "expression". In order to have an inequality that can be solved, there must be an inequality symbol between two mathematical expressions. Nancy


What does Inequality mean in math?

In mathematics, an inequality is a statement about the relative size or order of two values.


Why do we flip the inequality symbol when multiplying or dividing by a negative number.?

We flip the inequality symbol when multiplying or dividing by a negative number because it preserves the logical relationship between the quantities involved. For example, if ( a < b ) and we multiply both sides by a negative number, the direction of their relationship changes; thus, ( -a > -b ). This is due to the nature of the number line, where multiplying or dividing by a negative number reverses the order of the numbers. Therefore, flipping the symbol ensures that the inequality remains true.


How do you stop a child support order before it starts?

Assuming that "you" are one of the parties in the matter, you appear in court on the appointed date and explain to the judge why the court should not enter an order for support.


Where do you order large quantities of shipping envelopes?

You can order large quantities of shipping envelopes from your post office in your town. You can also order them on line from the post office as well. Sometimes for free.


Which property says that the product of a group of quantities is not dependent on the order in which the quantities are multiplied?

Commutative Property of Addition


What quantities are conserved when balancing a nuclear reaction?

In order for a nuclear reaction to be balanced, there are quantities that must be conserved. The quantities are the atomic numbers and mass numbers of the particles involved in the reaction.


What racial issue does functionalism help to explain?

Functionalism emphasizes the interdependence and purpose of different parts of society. It helps to explain how racial inequality can persist due to the belief that different racial groups serve specific functions within society. This perspective justifies and reinforces the status quo by suggesting that racial hierarchy is necessary for social order.