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Q: When does the sign change in inequalities?

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same way you do equalities, just remember to change the greater or lesser than sign around if you multiply or divide by a negative number.

The definition of equivalent inequalities: inequalities that have the same set of solutions

false

Linear inequalities in one variable

Just replace the words "is greater than" with the sign ">", and you get the inequality, in this case: x > 6

Related questions

equations have an = sign, inequalities do not

Compound inequalities are inequalities that have more than one sign, for example, 5

The main difference is that when solving inequalities, if you multiply or divide by a negative number you have to be careful, since you then also have to switch the sign (for example, change a "less-than" sign to a "greater-than" sign). If you multiply or divide by an expression that contains a variable, you have to consider the two cases: that such an expression might be positive, or that it might be negative.

Since there is no inequality sign, those are not inequalities. An inequality sign is normally one of the following: greater than; less than; great-or-equal; less-than-or-equal.

Inequalities and equations are both the same because they are both mathematical expression and they both use the same steps EXCEPT for the end. Inequalities and equations are both different because equations have an equal sign, the answer is not an interval, and the answer is a specific answer. Not a range. While inequalities don't have an equal sign, its answer is an interval, and it's answer is in a range.

I cannot tell you why it changes however it does happen with an equation as most inequalities start off in an equation.

Somewhat, but the rules are a bit different for inequalities. Example. -2X > 4 X < - 2 See, sign changes when dividing by negative coefficient.

Inequalities are not reflexive. Inequalities are not commutative.

same way you do equalities, just remember to change the greater or lesser than sign around if you multiply or divide by a negative number.

The definition of equivalent inequalities: inequalities that have the same set of solutions

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").

Instead of using y = mx + b you use y (inequality sign) mx + b. By inequality sign, I mean symbols like

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