Best Answer

You need to change it to the opposite direction; e.g 5 > 1; multiply both sides by -2 it becomes -10 < -2

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

Write your answer...

Submit

Still have questions?

Continue Learning about Algebra

The inequality symbol doesn't change direction in this case.Note that that is the same as adding a positive number.Note also that if you MULTIPLY or DIVIDE by a negative number, then you need to change the direction of the inequality symbol.

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

With the equal sign (=).

It is a linear inequality.

Split it into two parts, solve each part as if it had an "=" sign instead of an inequality. Ex: -6<3x+2<12 -6<3x+2; -8<3x; -8/3<x Other side-- 3x+2<12; 3x<10; x<10/3 Then put them back together. -8/3<x<10/3 *Make sure you remember to switch the direction of the inequality symbol if you are dividing by a negative number.*

Related questions

Always.

The inequality symbol doesn't change direction in this case.Note that that is the same as adding a positive number.Note also that if you MULTIPLY or DIVIDE by a negative number, then you need to change the direction of 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.

Yes.

Flip it around

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

u only reverse the sign when u multiply or divide by a NEGATIVE number...otherwise u don't change the direction

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

For the same reason you must flip it when you multiply by a negative number. An example should suffice. 2 < 3 If you multiply by -1, without switching the sign, you get: -2 < -3, which is wrong. Actually, -2 > -3. Look at a number line if you are not sure about this - numbers to the left are less than numbers further to the right. Dividing by a negative number is the same as multiplying by the reciprocal, which in this case is also negative. These signs are strictly the "Greater than" and "Less than" signs. The inequality sign is an = with a / stroke through it. If you divide an inequality by -1 it remains an inequality.

When multiplying or dividing a negative number or variable.

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

"<" means "farther to the left on the number line " and ">" means "farther to the right on the number line". Multiplying by a negative number switches the sign, which is a reflection that turns left into right. Double switch example: 1<2 multiply this by (-2): -2>-4 multiply this by (-1): 2<4