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Whenever you multiply (or divide) both sides an inequality by a negative number.

Example: 3 < 5, therefore -3 > -5

-2x < 10

becomes (by multiplying by -1/2):

x > 5

x(x+1) > 0

In this type of inequality, you can divide both sides by x, but you have to consider the two cases, that x > 0 and that x < 0.

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Q: When do you switch the inequality sign?
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Related questions

Do you switch the sign when you multiply or divide an inequality?

Only when what you're multiplying by/dividing by is negative.


How do you solve an inequality in one variable?

It depends on the specific inequality. In the simplest cases, it is solved just like an equation; except that you must be careful when multiplying and dividing - if you multiply or divide both sides by a negative number, you must switch the inequality sign. For instance, a "less-than" sign would be changed to a "greater-than" sign.


What is a solution to the inequality x281?

"x281" is an expression, not an inequality. An inequality is supposed to have an inequality sign, such as "&lt;" or "&gt;".


When is the only time you flip an inequality sign?

When you divide both sides of an inequality by a negative number, the inequality sign flips.


Do you switch the sign when you do inequalities?

Not always. Specifically, you switch the sign when you multiply or divide both sides of the inequality BY A NEGATIVE NUMBER. Example:4 &gt; 3 Multiplying by -2: -8 &lt; -6


When you multiply or divide both sides by a negative number then switch the direction of the?

The relation = , is less than, is greater than inequality sign


What is the inequality of 13 X plus 2665?

There is no inequality since there is no inequality sign.


When graphing a linear inequality the first step is to replace the inequality symbol with what sign?

With the equal sign (=).


Do you flip the inequality sign if the only the variable is negative?

No, you only flip the inequality sign if you are dividing by a negative number on both sides of the inequality


When you must reverse the inequality sign?

When solving an inequality, you must revers the inequality sign when you multiply (or divide) both sides by a negative number.


If you replace the equal sign of an equation an put an inequality sign in its place is there ever a time when the same value will be a solution to both the equation and inequality?

Yes, when the inequality has a less that or equal to sign, or a greater than sign or equal to sign, then the equal sign can be replaced and get a solution that is common to both the equation and the inequality. There can also be other solutions to the inequality, where as the solution for the equation will be a valid one.


How do you spell equal sign?

inequality sign