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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?
Wiki User
∙ 12y ago
-x > a iff** x < -a
This is easy to see intuitively by coloring a number line.
** "if and only if"
Wiki User
∙ 12y ago
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Does the inequality signs change when both sides are multiplied by a negative number in equations?
yes it does
What happens to the inequality when it is multiplied by a negative number?
The inequality is "flipped" when multiplied by a negative number. For example, if x > y and a is a negative number, then ax < ay.
When should an inequality sign be reversed?
When one side of the inequality is divided or multiplied by a negative number.
How do you solve an inequality if you are left with a negative variable?
In the case of an inequality, if you mulitply by a negative number, you have to reverse the direction of the inequality. E.g.: -x < 10 becomes: x > -10 (Here, I multiplied by -1, and simultaneously reversed the direction of the inequality.)
What happens when both sides of a less than inequality are multiplied or divided by a negative number?
The inequality sign becomes greater than (>).
Does the inequality signs change when both sides are multiplied by a negative number in equations?
yes it does
What happens to the inequality when it is multiplied by a negative number?
The inequality is "flipped" when multiplied by a negative number. For example, if x > y and a is a negative number, then ax < ay.
When should an inequality sign be reversed?
When one side of the inequality is divided or multiplied by a negative number.
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.
Why does inequality sign change when both sides are multiplied or divided by a negative number Does this happen with equations why or why not?
I cannot tell you why it changes however it does happen with an equation as most inequalities start off in an equation.
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.
When do you change the direction of an inequality symbol?
When a side is multiplied or divided by a negative number.
How do you solve an inequality if you are left with a negative variable?
In the case of an inequality, if you mulitply by a negative number, you have to reverse the direction of the inequality. E.g.: -x < 10 becomes: x > -10 (Here, I multiplied by -1, and simultaneously reversed the direction of the inequality.)
What happens when both sides of a less than inequality are multiplied or divided by a negative number?
The inequality sign becomes greater than (>).
Explain what happens when both sides of an inequality is multiplied by a negative number give an example to support your answer?
The direction of the inequality is reversed. Note that the if the inequality included "or equals" before, then it will after. 4 < 5 multiplied by -1 gives -4 > -5 5 >= 4 multiplied by -1 gives -5 <= -4
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.
