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Because when you fit in the variables, it wouldn't be true. therefore, you have to flip the inequality sign
For example,
3 > 2 True
3(-2) > 2(-2)
-6 > -4 False
If you change the direction of the inequality symbol, in the same time that you multiply by a negative number, then you find a true statement.
3 > 2 True
3(-2) < 2(-2)
-6 < -4 True
This is because the greater the absolute value of a negative number, the lesser it is, while the opposite is true for a positive number. When you multiply by a negative, a very large number becomes very small, or the opposite.
What else can I help you with?
Do you flip the inequality when adding and subtracting?
No. Only flip the inequality when multiplying or dividing by a negative number.
When you divide both sides of an inequality by a negative number you need to blank the inequality symbol?
Flip. You need to reverse the inequality when multiplying or dividing by a negative. -2x < 10 (-1)*(-2x) < (-1)*10 2x > -10 x > -5
When the inequality is multiplied both sides by a positive number what happens?
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 >
When you divide both sides of any inequality by a negative number you need to what the inequality symbol?
Flip it around
Why must you flip the inequality symbol when you divide by a negative number?
For the same reason you must flip it when you multiply by a negative number. An example should suffice. 2 < 3 If you multiply by -1, without switching the sign, you get: -2 < -3, which is wrong. Actually, -2 > -3. Look at a number line if you are not sure about this - numbers to the left are less than numbers further to the right. Dividing by a negative number is the same as multiplying by the reciprocal, which in this case is also negative. These signs are strictly the "Greater than" and "Less than" signs. The inequality sign is an = with a / stroke through it. If you divide an inequality by -1 it remains an inequality.
Do you flip the inequality when adding and subtracting?
No. Only flip the inequality when multiplying or dividing by a negative number.
Why do we flip the inequality symbol when multiplying or dividing by a negative number.?
We flip the inequality symbol when multiplying or dividing by a negative number because it preserves the logical relationship between the quantities involved. For example, if ( a < b ) and we multiply both sides by a negative number, the direction of their relationship changes; thus, ( -a > -b ). This is due to the nature of the number line, where multiplying or dividing by a negative number reverses the order of the numbers. Therefore, flipping the symbol ensures that the inequality remains true.
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 divide both sides of an inequality by a negative number you need to blank the inequality symbol?
Flip. You need to reverse the inequality when multiplying or dividing by a negative. -2x < 10 (-1)*(-2x) < (-1)*10 2x > -10 x > -5
Why does the inequality sign flip when both sides of an inequality are multiplied or divided by a negative number Does this happen with equations Explain.?
The inequality sign flips when both sides of an inequality are multiplied or divided by a negative number because the direction of the relationship between the two values reverses. For example, if ( a < b ) and we multiply both sides by -1, the inequality becomes ( -a > -b ) since multiplying by a negative number changes the order of the values. This does not happen with equations because equations represent equality; multiplying or dividing both sides by a negative number does not change their equality.
How do you solve the inequality?
you cant with the information that you gave
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.
When the inequality is multiplied both sides by a positive number what happens?
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 >
Do you only flip the inequality when you divide by a negative number?
Yes you do, you also flip the inequality sign if you multiply by a negative # The > and < signs are strictly the "Greater than" and "Less than" signs. The inequality sign is an = with a / stroke through it. If you divide an inequality by -1 it remains an inequality.
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
Why must you flip the inequality symbol when you divide by a negative number?
For the same reason you must flip it when you multiply by a negative number. An example should suffice. 2 < 3 If you multiply by -1, without switching the sign, you get: -2 < -3, which is wrong. Actually, -2 > -3. Look at a number line if you are not sure about this - numbers to the left are less than numbers further to the right. Dividing by a negative number is the same as multiplying by the reciprocal, which in this case is also negative. These signs are strictly the "Greater than" and "Less than" signs. The inequality sign is an = with a / stroke through it. If you divide an inequality by -1 it remains an inequality.
