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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.

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โˆ™ 2009-07-11 01:47:01
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Algebra

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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Q: Why it is necessary to reverse the inequality symbol when multiplying both side of an inequality by a negative number?
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Algebra why is it necessary to reverse the inequality symbol when multiplying both sides of an inequality by a negative number?

Because your multiping the inverse to both sides


When do you reverse the inequality symbol in a two-step inequality?

When multiplying or dividing a negative number or variable.


When you divide both sides of an inequality by a negative number you need to blank the inequality symbol?

Flip. You need to reverse the inequality when multiplying or dividing by a negative. -2x < 10 (-1)*(-2x) < (-1)*10 2x > -10 x > -5


If you multiply an inequality by a negative number when should you reverse the inequality symbol?

Always.


When you have to reverse the inequality sign?

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


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

When you divide both sides by a negative value


Why it is necessary to reverse the inequality symbol when multiplying both sides of an inequality by a negative number Provide an example to support your explanation?

"<" 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


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

negative flip


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.


How do you solve an inequality if you are left with a negative variable?

In the case of an inequality, if you mulitply by a negative number, you have to reverse the direction of the inequality. E.g.: -x < 10 becomes: x > -10 (Here, I multiplied by -1, and simultaneously reversed the direction of the inequality.)


Explain in your own words why it is necessary to reverse the inequality symbol when multiplying both sides of an inequality by a negative number Provide an example to support your explanation?

Think of a number line. The larger numbers are to the right and the smaller number to the left. For instance, five is less than seven. (5 < 7). When you multiply by a negative number, then the numbe with the larger absolute value is on the left, and the number with the smaller absolute value is to the right. (-5 > -7).


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


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


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&gt;4. If you multiply both sides by -2, you need to change the &gt; into a &lt;, so -20&lt;-8


Solve the inequality negative 3p is greater than 105?

-3p &gt; 105 divide both sides by -3 and remember that when multiplying or dividing by a negative number, you reverse the sense of the inequality: p &lt; -35 To check to make sure the answer makes sense, select a value of p that is less than -35. For example, -100: (-3)(-100) &gt; 105 300 &gt; 105 which is true.


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 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.


When do you reverse the inequality symbol in a two step inequality?

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


What are the rules on positive and negative numbers?

multiplying and dividing- positive * positive= positive positive * negative=negative negative *negative=positive subtracting- -3-6=? 1. freeze first number- -3 2.reverse the sign to a addition- -3+ 3.Reverse the sign of the number- -3+-6= -9 adding- keep the sign of the larger number, then add/subtract


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.


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 โ€“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 &gt; -23, and the solution to the second inequality is y


Acceleration is negative if?

You throw it into reverse =)


Why is it necessary to reverse the inequality symbol when dividing both sides of an inequality by a negative number provide an example?

Let us look at an example. Here is an inequality: 3 is greater than 2.We write this as: 3 > 2.Now let us divide both numbers by a negative number. Let us divide by -1 to keep things as simple as possible.3/-1 = -32/-1 = -2So now the sign of the inequality must be reversed:-3 < -2.-3 is smaller than -2 and so the sign was reversed to show this. This holds true for any example we can think of.Why is this so?If we were to divide two numbers by a positive number then we would not need to change the sign of the inequality. 4 > 2. (divide by 2) 2 > 1.However, when we divide a positive number by a negative the result is always negative. A number that was higher when positive will be lower when negative.Think of a number as representing the distance from 0.4 is further away from 0 than 3 is. When the distance is greater in a positive way then the number is larger. However when the difference is greater in a negative way, such as with -4 and -3 (-4 is further away from 0) then the number is smaller.This is what happens when we divide by a negative number and so the inequality sign must be reversed to show this.


Are negative correlation and reverse correlation same?

No.


What are Negative side of euthanasia?

You can't reverse it.