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If you multiply or divide both sides of an inequality by a number you need to reverse the inequality sign?
negative flip
Does the inequality signs change when both sides are multiplied by a negative number in equations?
yes it does
What happens when both sides of a less than inequality are multiplied or divided by a negative number?
The inequality sign becomes greater than (>).
What do you do with your inequality if you divide by both sides by a negative number?
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.
What is the difference between multiplication property of inequality and multiplication property of equality?
The multiplication property of equality states that if you multiply both sides of an equation by the same non-zero number, the two sides remain equal. In contrast, the multiplication property of inequality states that if you multiply both sides of an inequality by a positive number, the inequality remains unchanged, but if you multiply by a negative number, the inequality sign must be flipped. Thus, while equality preserves its form, inequality requires careful handling based on the sign of the multiplier.
Algebra why is it necessary to reverse the inequality symbol when multiplying both sides of an inequality by a negative number?
Because your multiping the inverse to both sides
When is the only time you flip an inequality sign?
When you divide both sides of an inequality by a negative number, the inequality sign flips.
If you multiply or divide both sides of an inequality by a number you need to reverse the inequality sign?
negative flip
When you divide both sides of any inequality by a negative number you need to what the inequality symbol?
Flip it around
When you multiply both sides of any inequality by a negative number you need to the inequality symbol?
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.
What do you need to do to the inequality sign if you multiply or divide both sides of an inequality 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
What happens if you add or subtract a value to both sides of an inequality?
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.
Do you flip the inequality sign if the only the variable is negative?
No, you only flip the inequality sign if you are dividing by a negative number on both sides of the inequality
When you must reverse the inequality sign?
When solving an inequality, you must revers the inequality sign when you multiply (or divide) both sides by a negative number.
Does the inequality signs change when both sides are multiplied by a negative number in equations?
yes it does
What happens when both sides of a less than inequality are multiplied or divided by a negative number?
The inequality sign becomes greater than (>).
When you multiply both sides of any inequality by a negative number you need to do what to 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
