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If you multiply or divide both sides of an inequality by a number you need to reverse the inequality sign?
Wiki User
∙ 14y ago
negative
flip
Wiki User
∙ 14y ago
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How do you figure out inequalities?
Treat it like a normal equation. Except if you divide/multiply by a negative number you reverse the inequality. That's basically it.
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.
Do you only flip the inequality when you divide by a negative number?
Yes you do, you also flip the inequality sign if you multiply by a negative # The > and < 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.
Do you believe you would come up with a false equality if you multiply or divide an equality by a negative number?
No. Multiplying or dividing by a negative number is perfectly valid. However, please note that:Dividing by zero will most likely give you wrong results.In the case of an inequality, if you multiply or divide by a negative number, you have to reverse the sign. For example, 2 < 3; multiplying by -2: -4 > -6
When you have to reverse the inequality sign?
The usual case is when you multiply or divide an inequality by a negative number.
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 multiply an inequality by a negative number when should you reverse the inequality symbol?
Always.
How do you figure out inequalities?
Treat it like a normal equation. Except if you divide/multiply by a negative number you reverse the inequality. That's basically it.
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
How do you solve an inequality when using the distributive property?
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
What must occur in a linear inequality when you divide or multiply by a negative number?
The inequality sign must be flipped.
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.
What is the easiest way you can solve inequalities?
Solve like any other math equation. One thing to remember; if you multiply or divide through by a negative number, reverse the inequality.
What do you need to do to the inequality sign if you multiply or divide both sides of an inequality by a negative number?
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
What happens if you multiply or divide an inequality by a negative number?
The inequality sign changes direction. So 2<3 Multiply by -2 and you get -4>-6 (similarly with division).
How do you solve an inequality with fractions and variables on both sides?
You solve an inequality the same way you solve an equality. You add and subtract, multiply and divide, both sides by the same value in order to isolate one of the variables. The only extra thing you need to remember is that if you multiply or divide by a negative number, you must reverse the order of the inequality, i.e. less than or equal becomes greater than or equal.
