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Q: When you divide both sides of an inequality by a positive value you must change the direction of the inequality sign?

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The inequality symbol doesn't change direction in this case.Note that that is the same as adding a positive number.Note also that if you MULTIPLY or DIVIDE by a negative number, then you need to change the direction of the inequality symbol.

You divide as normal BUT you change the direction of the inequality symbol, so that < becomes > and conversely.

Change the direction of the inequality.

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

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").

The direction of the inequality remains unchanged. The direction changes when you divide or multiply both sides by a negative number. It also changes if both sides are raised to a negative exponent.

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 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 ">".

You divide the negative number by a positive number for it to stay positive. And you divide the negative number by a negative number for it to become positive.

The inequality sign changes direction. So 2<3 Multiply by -2 and you get -4>-6 (similarly with division).

When you divide both sides by a negative value

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

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.

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

The relation = , is less than, is greater than inequality sign

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

The inequality sign must be flipped.

Flip it around

The inequality sign got lost when writing the question. Anyway, inequalities are basically solved the same way as equations; you transfer everything that has the variable ("x") to one side, and everything else to the other side of the equation - or inequality. The major care you must take is that in an inequality, if you multiply or divide by a negative number, the inequality sign changes direction - for example, a less-than becomes a greater-than.

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.

In the same wasy as you solve equations except that if you multiply or divide both sides by a negative number, then the inequality changes direction.

The main difference is that if you multiply both sides of an inequality by a negative number, you have to change the direction of the inequality sign - for example "greater than" would become "less than".

negative flip

For the equation -50n ≤ 10divide both sides by -50 to determine the answer, which is n ≥ (- 1/5)The indicator switches direction (from less than to greater than, or vice versa) when you multiply or divide an inequality by a negative number.

The same way as with a positive denominator. The difference is, you change the sign of the numerator.