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What happens to the inequality symbol when you subtract 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.
When do you change the direction of an inequality symbol?
When a side is multiplied or divided by a negative number.
When graphing a linear inequality the first step is to replace the inequality symbol with what sign?
With the equal sign (=).
What is A mathematical sentence which contains an inequality symbol and one variable raised to the first power is called a?
It is a linear inequality.
How do you solve and inequality with two signs?
Split it into two parts, solve each part as if it had an "=" sign instead of an inequality. Ex: -6<3x+2<12 -6<3x+2; -8<3x; -8/3<x Other side-- 3x+2<12; 3x<10; x<10/3 Then put them back together. -8/3<x<10/3 *Make sure you remember to switch the direction of the inequality symbol if you are dividing by a negative number.*
If you multiply an inequality by a negative number when should you reverse the inequality symbol?
Always.
What happens to the inequality symbol when you subtract 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.
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.
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.
Does positive number become negative when it crosses the inequality symbol?
Yes.
When you divide both sides of any inequality by a negative number you need to what the inequality symbol?
Flip it around
How do you know when to reverse the direction of an inequality symbol?
u only reverse the sign when u multiply or divide by a NEGATIVE number...otherwise u don't change the direction
When do you change the direction of an inequality symbol?
When a side is multiplied or divided by a negative number.
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.
When solving an inequality when is it necessary to change the direction of the inequality symbol?
When the two sides of the inequality are multiplied or divided by a negative number or term or expression.
Why the inequality symbol must be reversed when both sides of an inequality are multiplied or divided by a negative number?
The inequality symbol shows wich side of the equation is greater than the other. When you multiply a positive number by a negative number you get a negative result ( for instance 4 x -2 = -8 ). 4 is larger than -8. If we multiply a negative number by a negative number we get a positive number. 1) -5 > -6 . -1 (-5) < -1(-6) . 5 < 6 this is a true statement 2) 5 > -6 . -1 (5) < -1 (-6) . -5 < 6 this is also true 3) 6 > 5 . -1 (6) < -1 (5) . -6 < - 5 this one works too
When do you reverse the inequality symbol in a two-step inequality?
When multiplying or dividing a negative number or variable.
