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When you divide both sides by a negative value

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


Explain how solving -7y > 161 is different from solving 7y > -161?

Sample response: Both inequalities use the division property to isolate the variable, y. When you divide by a negative number, like –7, you must reverse the direction of the inequality sign. When you divide by a positive number, like 7, the inequality sign stays the same. The solution to the first inequality is y > -23, and the solution to the second inequality is y


When you have to reverse the inequality sign?

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


If you multiply or divide both sides of an inequality by a number you need to reverse the inequality sign?

negative flip


How is solving an inequality different from solving an equation?

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.


How to do 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).


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

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


How do you solve the inequality2x -10 6?

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.


Explain how solving inequalities is alike and different from solving equations?

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").


How is inequality differant from equation?

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 ">".


How do you know when to reverse the direction of an inequality symbol?

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


What are the properties in solving equations and inequations?

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.