Want this question answered?
yes it does
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".
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 sign changes if you multiply/divide by a negative number. It stays the same if you add/subtract by a negative number.
-x > a iff** x < -a This is easy to see intuitively by coloring a number line. ** "if and only if"
Yes you have to flip the sign.
yes it does
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 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.
Change the direction of the inequality.
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.
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".
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.
You need to change it to the opposite direction; e.g 5 > 1; multiply both sides by -2 it becomes -10 < -2
The sign changes if you multiply/divide by a negative number. It stays the same if you add/subtract 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>4. If you multiply both sides by -2, you need to change the > into a <, so -20<-8
-x > a iff** x < -a This is easy to see intuitively by coloring a number line. ** "if and only if"