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"<" 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
What else can I help you with?
When do you reverse the inequality symbol in a two-step inequality?
When multiplying or dividing a negative number or variable.
Explain in your own words 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?
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 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
How do you solve the inequality?
you cant with the information that you gave
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
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.
Explain in your own words 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?
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 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 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.
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 is the effect of multiplying both sides of an inequality by a negative number?
It changes the direction of the inequality.
