It changes the direction of the inequality.
No. Only flip the inequality when multiplying or dividing 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 multiply both sides by a negative number the inequality must be flipped over. You do not do that when multiplying by a positive number.
Flip. You need to reverse the inequality when multiplying or dividing by a negative. -2x < 10 (-1)*(-2x) < (-1)*10 2x > -10 x > -5
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.
No. Only flip the inequality when multiplying or dividing by a negative number.
When multiplying or dividing a negative number or variable.
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
Because your multiping the inverse to both sides
When you multiply both sides by a negative number the inequality must be flipped over. You do not do that when multiplying by a positive number.
Flip. You need to reverse the inequality when multiplying or dividing by a negative. -2x < 10 (-1)*(-2x) < (-1)*10 2x > -10 x > -5
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.
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.
The same as a positive one. If you are multiplying a positive number by a negative, the answer will be negative. If you are multiplying a negative number by a negative, the answer will be positive.
The inequality is "flipped" when multiplied by a negative number. For example, if x > y and a is a negative number, then ax < ay.
"<" 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
Multiplying a negative number is always negative. There really is not a comparison for this type of math problem.