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Why the inequality symbol must be reversed when both sides of an inequality are multiplied or divided by a negative number?
The inequality symbol shows wich side of the equation is greater than the other. When you multiply a positive number by a negative number you get a negative result ( for instance 4 x -2 = -8 ). 4 is larger than -8. If we multiply a negative number by a negative number we get a positive number.
1) -5 > -6
. -1 (-5) < -1(-6)
. 5 < 6 this is a true statement
2) 5 > -6
. -1 (5) < -1 (-6)
. -5 < 6 this is also true
3) 6 > 5
. -1 (6) < -1 (5)
. -6 < - 5 this one works too
What else can I help you with?
When should an inequality sign be reversed?
When one side of the inequality is divided or multiplied by a negative number.
What happens when both sides of a less than inequality are multiplied or divided by a negative number?
The inequality sign becomes greater than (>).
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.
Dose a negative multiplied a positive a negative?
When two numbers with different signs are multiplied or divided, the answer is negative.
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 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.
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 (>).
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
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.
Dose a negative multiplied a positive a negative?
When two numbers with different signs are multiplied or divided, the answer is negative.
Negative divided by a poitive?
The answer of a negative number multiplied by (or divided by) a positive number will be 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"
Positive divided by a negative?
The rules for division are the same as for multiplication. Positive multiplied (or divided) by negative is negative.
