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Why do we flip the inequality symbol when multiplying or dividing by a negative number.?
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When do you reverse the inequality symbol in a two-step inequality?
When multiplying or dividing a negative number or variable.
Do you believe you would come up with a false equality if you multiply or divide an equality by a negative number?
No. Multiplying or dividing by a negative number is perfectly valid. However, please note that:Dividing by zero will most likely give you wrong results.In the case of an inequality, if you multiply or divide by a negative number, you have to reverse the sign. For example, 2 < 3; multiplying by -2: -4 > -6
Do the same rules apply when you solve equations and inequalities?
Almost. There's one new rule, which is that whenever you multiply or divide by a negative number, you have to flip the inequality sign. To see why, try achieving the same result without this step, using positive factors and subtraction: the equation must effectively flip itself around the sign.
Why is multiplying or dividing the numerator and the denominator by the same number the same as multiplying or dividing the fraction by 1?
Because multiplying or dividing them by the same NON-ZERO number does not alter their ratio.
Is the answer still negative if both numbers that are being added are negative?
Yes, if you are adding two negative numbers then the answer will be a negative. However, if you are multiplying or dividing two negative numbers then the answer will be a positive number.
Do you flip the inequality when adding and subtracting?
No. Only flip the inequality when multiplying or dividing by a negative number.
When do you reverse the inequality symbol in a two-step inequality?
When multiplying or dividing a negative number or variable.
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
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.
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 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 >
Why does the number of negative factors affect the signs of the product in math equations?
Multiplying or dividing a positive and negative gives a negative result. Multiplying or dividing two negatives gives a positive result.
What are the rule for dividing negative numbers?
The rules for dividing negative numbers is the same as multiplying them. A negative number multiplied/divided by a negative number is positive and a negative number multiplied/divided by a positive number is negative.
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
Do you believe you would come up with a false equality if you multiply or divide an equality by a negative number?
No. Multiplying or dividing by a negative number is perfectly valid. However, please note that:Dividing by zero will most likely give you wrong results.In the case of an inequality, if you multiply or divide by a negative number, you have to reverse the sign. For example, 2 < 3; multiplying by -2: -4 > -6
How do you multiple and divide positive and negative integers?
multiplying and dividing a negative number will "flip" the sign of the other number. So multiplying two negative numbers will produce a positive number. Multiplying one positive and one negative number will produce a negative. And of course two positive numbers yield a positive.
Algebra why is it necessary to reverse the inequality symbol when multiplying both sides of an inequality by a negative number?
Because your multiping the inverse to both sides
