When a side is multiplied or divided by a negative number.
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 need to change it to the opposite direction; e.g 5 > 1; multiply both sides by -2 it becomes -10 < -2
With the equal sign (=).
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 is a linear inequality.
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.
The direction of an inequality symbol can change when you multiply or divide both sides of the inequality by a negative number, which reverses the inequality. Additionally, if you add or subtract a term that is common on both sides without affecting the inequality's balance, the direction remains unchanged. However, if the operation involves terms that can alter the order of values, such as modifying a variable's sign, the direction may also change.
When the two sides of the inequality are multiplied or divided by a negative number or term or expression.
You need to change it to the opposite direction; e.g 5 > 1; multiply both sides by -2 it becomes -10 < -2
u only reverse the sign when u multiply or divide by a NEGATIVE number...otherwise u don't change the direction
It changes the direction of the inequality.
Yes, it is true.
Unless it's a fancy graphing calculator, you don't. When solving an inequality, you need to solve it as an equality, remaining mindful of the proper direction of the inequality symbol after each step.
If both sides of an inequality are multiplied or divided by the same positive number, the direction of the inequality symbol remains the same. For example, if you have ( a < b ) and you multiply both sides by a positive number ( c ), the inequality remains ( ac < bc ). This property holds true for all positive numbers, ensuring the relationship between the two sides is preserved.
No. Only when you divide by a negative.
Change the direction of the inequality.