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.
No. Only flip the inequality when multiplying or dividing by a negative number.
Flip. You need to reverse the inequality when multiplying or dividing by a negative. -2x < 10 (-1)*(-2x) < (-1)*10 2x > -10 x > -5
Flip it around
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 >
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.
No. Only flip the inequality 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.
No, you only flip the inequality sign if you are dividing by a negative number on both sides of the inequality
Flip. You need to reverse the inequality when multiplying or dividing by a negative. -2x < 10 (-1)*(-2x) < (-1)*10 2x > -10 x > -5
you cant with the information that you gave
When you divide both sides of an inequality by a negative number, the inequality sign flips.
negative flip
Flip it around
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.
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 >
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.
You flip the inequality sign when you are dividing or multiplying both sides by a negative.You also flip the inequality sign when you "swap" the answers on both sides.The other time you flip the inequality sign is when raising both sides to a negative power. e.g. 5>4, but (5^-1)