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Think of a number line. The larger numbers are to the right and the smaller number to the left. For instance, five is less than seven. (5 < 7). When you multiply by a negative number, then the numbe with the larger absolute value is on the left, and the number with the smaller absolute value is to the right. (-5 > -7).
What else can I help you with?
Why it is necessary to reverse the inequality symbol when multiplying both sides of an inequality by a negative number Provide an example to support your explanation?
"<" means "farther to the left on the number line " and ">" means "farther to the right on the number line". Multiplying by a negative number switches the sign, which is a reflection that turns left into right. Double switch example: 1<2 multiply this by (-2): -2>-4 multiply this by (-1): 2<4
When do you reverse the inequality symbol in a two-step inequality?
When multiplying or dividing a negative number or variable.
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.
What is the inequality solution of -7b less than 49?
-7b < 49Remember, when dividing or multiplying by negative numbers, the sign of the inequality is flipped.Therefore:b > -7
Is there a general rule that you must always follow when multiplying or dividing an inequality by a negative value?
positive and positive are positive positive and negative are negative negative and negative is 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
Why it is necessary to reverse the inequality symbol when multiplying both sides of an inequality by a negative number Provide an example to support your explanation?
"<" means "farther to the left on the number line " and ">" means "farther to the right on the number line". Multiplying by a negative number switches the sign, which is a reflection that turns left into right. Double switch example: 1<2 multiply this by (-2): -2>-4 multiply this by (-1): 2<4
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.
Do you switch the sign when you multiply or divide an inequality?
Only when what you're multiplying by/dividing by is negative.
Why it is necessary to reverse the inequality symbol when multiplying both side of an inequality by a negative number?
You need to reverse the inequality symbol when multiplying both sides of an inequality by a negative number because you are changing the sign of both sides of the equation. Since inequality, such as "less than", means "to the left of" on the number line (where left is minus and right is plus) then a number that is less than another will be greater than the other if the signs were reversed. Example: 3 is less than 4, but -3 is greater than -4.
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.
What is the inequality solution of -7b less than 49?
-7b < 49Remember, when dividing or multiplying by negative numbers, the sign of the inequality is flipped.Therefore:b > -7
Is there a general rule that you must always follow when multiplying or dividing an inequality by a negative value?
positive and positive are positive positive and negative are negative negative and negative is positive
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
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.
