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yes it does

Q: Does the inequality signs change when both sides are multiplied by a negative number in equations?

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-x > a iff** x < -a This is easy to see intuitively by coloring a number line. ** "if and only if"

No. Only when you divide by a negative.

This isn't an inequality, since there is no less-than, greater-than, less-than-or-equal, or greater-than-or-equal sign. However, solving inequalities is similar to solving equations; however, when you multiply by a negative number, you must change the direction of the inequality sign.

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*negative=positive negative/positive=negative negative\negative=positve negative-positive=change the sign to a plus and then change the number after the sign and get your answer negative +positive=which ever numbr is bigger minus positive+positive=positive

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-x > a iff** x < -a This is easy to see intuitively by coloring a number line. ** "if and only if"

When a side is multiplied or divided by a negative number.

When the two sides of the inequality are multiplied or divided by a negative number or term or expression.

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

It changes because the number may be lesser than the original equation. The greater the negative number the more likely the inequality sign will change.

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").

It's the same thing as solving an equation, the minor difference is to change the inequality sign when the numbers change signs(i.e negative to positive to negative).

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.

Yes you have to flip the sign.

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

No. Only when you divide by a negative.

This isn't an inequality, since there is no less-than, greater-than, less-than-or-equal, or greater-than-or-equal sign. However, solving inequalities is similar to solving equations; however, when you multiply by a negative number, you must change the direction of the inequality sign.