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Why do you flip the inequality sign when you multiply or divide by negative numbers?
because if you didn't the inequality would not be true.
ex. -3x<15
when you solve it WITHOUT CHANGING THE SIGN, you get
x<-5
when you graph that, a possible answer is -7
If you plug that in to the inequality, you get
-3(-7)<15
BUT that's not true! so therefor you need to flip the sign direction
:)
What else can I help you with?
When you have to reverse the inequality sign?
The usual case is when you multiply or divide an inequality by a negative number.
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.
Do you switch the sign when you multiply or divide an inequality?
Only when what you're multiplying by/dividing by is negative.
What happens if you multiply or divide an inequality by a negative number?
The inequality sign changes direction. So 2<3 Multiply by -2 and you get -4>-6 (similarly with division).
What happers if you multiply or divide two negative numbers?
When you divide or multiply two negative numbers they cancel each other out and you have a positive answer. We are measuring relationships instead of moving on a number line like addition or subtraction.
When you divide or multiply an inequality by a negative number does it effect the inequality sign?
Yes, when you divide or multiply an inequality by a negative number, you must reverse the inequality sign. For example, if ( a < b ) and you multiply both sides by a negative number ( -c ), the inequality becomes ( -ac > -bc ). This change is necessary to maintain the truth of the inequality.
When you have to reverse the inequality sign?
The usual case is when you multiply or divide an inequality by a negative number.
What must you do when you multiply or divide each side of an inequality by a negative number?
When you multiply or divide each side of an inequality by a negative number, you must reverse the direction of the inequality sign. For example, if you have ( a < b ) and you multiply both sides by a negative number, the inequality changes to ( -a > -b ). This reversal is crucial to maintain the correct relationship between the two sides of the inequality.
If you multiply or divide both sides of an inequality by a number you need to reverse the inequality sign?
negative flip
What must occur in a linear inequality when you divide or multiply by a negative number?
The inequality sign must be flipped.
When you solve an inequality and the first step was to multiply or divide by a negative?
yes ... and so?
What happens to the inequality sign when you divide by a negative integer?
When you divide or multiply both sides of an inequality by a negative integer, the inequality sign must be reversed. For example, if you have the inequality (a < b) and you divide both sides by a negative number, the resulting inequality will be (a / (-n) > b / (-n)), where (n) is a positive integer. This reversal is necessary to maintain the truth of the inequality.
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.
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.
Do you switch the sign when you multiply or divide an inequality?
Only when what you're multiplying by/dividing by is negative.
Do you see any differences from an equation when you add or subtract numbers to both sides of the inequality sign?
No, the process is exactly the same. However, when you multiply or divide, you must be careful: if you multiply or divide by a negative number, the direction of the inequality must be changed, for example: -x + 3 > 15 (multiply by -1) x - 3 < -15
What happens if you multiply or divide an inequality by a negative number?
The inequality sign changes direction. So 2<3 Multiply by -2 and you get -4>-6 (similarly with division).
