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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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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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Because your multiping the inverse to both sides

When multiplying or dividing a negative number or variable.

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

Always.

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

When you divide both sides by a negative value

"<" 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

negative flip

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

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.)

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).

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

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

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

-3p > 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 < -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) > 105 300 > 105 which is true.

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

Treat it like a normal equation. Except if you divide/multiply by a negative number you reverse the inequality. That's basically it.

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

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

Solve like any other math equation. One thing to remember; if you multiply or divide through by a negative number, reverse the inequality.

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

You throw it into reverse =)

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.

No.

You can't reverse it.