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I cannot tell you why it changes however it does happen with an equation as most inequalities start off in an equation.

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16y ago

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Why does the inequality sign flip when both sides of an inequality are multiplied or divided by a negative number Does this happen with equations Explain.?

The inequality sign flips when both sides of an inequality are multiplied or divided by a negative number because the direction of the relationship between the two values reverses. For example, if ( a < b ) and we multiply both sides by -1, the inequality becomes ( -a > -b ) since multiplying by a negative number changes the order of the values. This does not happen with equations because equations represent equality; multiplying or dividing both sides by a negative number does not change their equality.


When should an inequality sign be reversed?

When one side of the inequality is divided or multiplied by a negative number.


Why does the inequality sign change when both sides are multiplied or divided by a negative number Does this happen with equations Why or why notWrite an inequality for your classmates to solve I?

-x > a iff** x < -a This is easy to see intuitively by coloring a number line. ** "if and only if"


When do you change the direction of an inequality symbol?

When a side is multiplied or divided by a negative number.


When solving an inequality when is it necessary to change the direction of the inequality symbol?

When the two sides of the inequality are multiplied or divided by a negative number or term or expression.


What happens when both sides of a less than inequality are multiplied or divided by a negative number?

The inequality sign becomes greater than (>).


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

When an Inequality expression is multiplied (or divided) by a negative number then the Inequality sign is reversed. Example : -9x < 18 : -x < 2 : x > -2........as both sides have been multiplied by -1.


What sign is the answer to a minus divided by a minus?

a negative divided or multiplied by a negative is a positive a negative and a positive multiplied or divided by each other is a negative a negative divided or multiplied by a negative is a positive a negative and a positive multiplied or divided by each other is a negative


Why does the inequality symbol change when you multiply or divide both sides of an inequality by a negative number. Does the same thing happen with equations?

The inequality symbol changes when you multiply or divide both sides of an inequality by a negative number because the order of the numbers on the number line reverses. For example, if ( -2 < -1 ), multiplying both sides by -1 gives ( 2 > 1 ). This reversal does not happen with equations, as both sides can be manipulated equally without changing their equality, regardless of whether they are multiplied or divided by a negative number. Thus, while inequalities require careful handling of the sign, equations do not have this restriction.


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


What do you do with your inequality if you divide by both sides by a negative number?

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.


Why does the inequality sign change when both sides are multilpied or divided by a negative number.Does this happen to equations?

It changes because the number may be lesser than the original equation. The greater the negative number the more likely the inequality sign will change.