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Why do you reverse the inequality when you multiply or divide both sides of an inequality by a negative number?
Wiki User
∙ 11y ago
Just try it out! If 1 < 2, and you multiply both sides by -1, you get -1 ... -2. If you look at the numbers on a number line in standard position, you see that 1 is LEFT of 2 (and therefore less), while -1 is RIGHT of -2 (and therefore greater).
So, -1 > -2 and the inequality sign has been reversed.
Wiki User
∙ 11y ago
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If you multiply or divide both sides of an inquality by a negative number you need to?
Change the direction of the inequality.
What happens when you multiply or divide an inequalitie by a negative number?
When an inequality is multiplied or divided by a negative number the inequality sign is reversed.Example : -x < 7 ......after multiplying by (say) -2 this becomes 2x > -14
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
How do you divide by a negative in an inequality?
You divide as normal BUT you change the direction of the inequality symbol, so that < becomes > and conversely.
What happenes when you divide or multiply a inequlity by a negative?
Dividing or multiplying by a negative reverts the value to the other side of the number line, thus, the inequality sign must revert as well.
When you have to reverse the inequality sign?
The usual case is when you multiply or divide an inequality by a negative number.
If you multiply or divide both sides of an inequality by a number you need to reverse the inequality sign?
negative flip
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.
How do you figure out inequalities?
Treat it like a normal equation. Except if you divide/multiply by a negative number you reverse the inequality. That's basically it.
When solving an inequality when do you reverse the inequality sign?
When you divide both sides by a negative value
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
How do you solve an inequality when using the distributive property?
You solve an inequality in the same way as you would solve an equality (equation). The only difference is that if you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality sign. Thus, if you have -3x < 9 to find x, you need to divide by -3. That is a negative number so -3x/(-3) > 9/(-3) reverse inequality x > -3
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?
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.
How many positive things to reverse a negative?
- * - = + - * + = - + * + = + - / - = + - / + = - + / + = + *= multiply /=divide
Do you switch the sign when you multiply or divide an inequality?
Only when what you're multiplying by/dividing by is negative.
