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Q: When solving an inequality when do you reverse the inequality sign?

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

In solving an inequality you generally use the same methods as for solving an equation. The main difference is that when you multiply or divide each side by a negative, you have to switch the direction of the inequality sign. The solution to an equation is often a single value, but the solution to an inequality is usually an infinite set of numbers, such as x>3.

The usual case is when you multiply or divide an inequality by a negative number.

In that it uses an inequality sign (less then, greater than, less-than-or-equal, greater-than-or-equal) instead of an equality sign. When solving, special care must be taken - when multiplying or dividing both sides of an inequality by a negative number, the direction of the inequality sign changes.

negative flip

What role of operations that applies when you are solving an equation does not apply when your solving an inequality?"

It's the same thing as solving an equation, the minor difference is to change the inequality sign when the numbers change signs(i.e negative to positive to negative).

This isn't an inequality, since there is no less-than, greater-than, less-than-or-equal, or greater-than-or-equal sign. However, solving inequalities is similar to solving equations; however, when you multiply by a negative number, you must change the direction of the inequality sign.

Most of the steps are the same. The main difference is that if you multiply or divide both sides of an inequality by a NEGATIVE number, you must change the direction of the inequality sign (for example, change "less than" to "greater than").

You can add, subtract, multiply, or divide both sides of the equation or inequality by the same number. Don't multiply or divide by zero. In the case of an inequality, if you multiply or divide by a negative number, the sign of the inequality must be reversed. E.g., if you multiply both sides by -2, a "less-than" sign should be replaced by a "greater-than" sign.

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

The difference is that instead of the sign "=", an inequality sign, for example "<" (less-than) is used. For solving inequalities, you can add, subtract, multiply or divide both sides by the same number, similar to an equation; however, if you multiply or divide by a negative number, the direction of the inequality changes. For example, "<" becomes ">".

With the equal sign (=).

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

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.

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

When your teacher comes and your not sure what the answer is.

Always.

There is no inequality since there is no inequality sign.

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

"x281" is an expression, not an inequality. An inequality is supposed to have an inequality sign, such as "<" or ">".

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You solve an inequality in the same way as you would solve an equality (equation). The only difference is that if you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality sign. Thus, if you have -3x < 9 to find x, you need to divide by -3. That is a negative number so -3x/(-3) > 9/(-3) reverse inequality x > -3

You need to reverse the inequality symbol when multiplying both sides of an inequality by a negative number because you are changing the sign of both sides of the equation. Since inequality, such as "less than", means "to the left of" on the number line (where left is minus and right is plus) then a number that is less than another will be greater than the other if the signs were reversed. Example: 3 is less than 4, but -3 is greater than -4.

Leave it alone. You cannot make an inequality into an equality by multiplying both sides of the inequation by the same number. If instead of the inequality sign you are using a lesser or greater than sign, however, you will need to reverse it if you multiply both sides by the same negative number, e.g. 10>4. If you multiply both sides by -2, you need to change the > into a <, so -20<-8