Because your multiping the inverse to both sides
When you divide both sides of an inequality by a negative number, the inequality sign flips.
Flip it around
When an Inequality expression is multiplied (or divided) by a negative number then the Inequality sign is reversed. Example : -9x < 18 : -x < 2 : x > -2........as both sides have been multiplied by -1.
No, you only flip the inequality sign if you are dividing by a negative number on both sides of the inequality
When solving an inequality, you must revers the inequality sign when you multiply (or divide) both sides 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
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.
yes it does
The inequality sign becomes greater than (>).
If two sides of an inequality are multiplied (or divided) by a negative number, you have to invert the sign. For example, a "less-than" sign becomes a "greater-than" sign.
Change the direction of the inequality.
You need to change it to the opposite direction; e.g 5 > 1; multiply both sides by -2 it becomes -10 < -2
When you divide both sides by a negative value
You need to reverse the inequality symbol when multiplying both sides of an inequality by a negative number because you are changing the sign of both sides of the equation. Since inequality, such as "less than", means "to the left of" on the number line (where left is minus and right is plus) then a number that is less than another will be greater than the other if the signs were reversed. Example: 3 is less than 4, but -3 is greater than -4.
Nothing, you proceed as if the < or > was an =. If you're multiplying or dividing both sides by a negative, you flip the sign. e.g. < would go to >
Suppose the number is n. Then 3n + 2 = 17 Subtracting 2 from both sides: 3n = 15 Dividing both sides by 3 : n = 5
It changes the direction of the inequality.
You can add, subtract, multiply, or divide both sides of the equation or inequality by the same number. Don't multiply or divide by zero. In the case of an inequality, if you multiply or divide by a negative number, the sign of the inequality must be reversed. E.g., if you multiply both sides by -2, a "less-than" sign should be replaced by a "greater-than" sign.
10 by subtracting 2 on both sides
It helps to find a common denominator and multiply both sides of the inequality by this common denominator. That way, you have an inequality without fractions.
If N is the number, then 6 + N/3 = 18 Subtracting 6 from both sides: N/3 = 12 Multiplying both sides by 3: N = 36
The relation = , is less than, is greater than inequality sign