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What happens if you add or subtract a value to both sides of an inequality?
The direction of the inequality remains unchanged. The direction changes when you divide or multiply both sides by a negative number. It also changes if both sides are raised to a negative exponent.
What happens if you multiply or divide an inequality by a negative number?
The inequality sign changes direction. So 2<3 Multiply by -2 and you get -4>-6 (similarly with division).
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 you have to reverse the inequality sign?
The usual case is when you multiply or divide an inequality by a negative number.
What happens when you subtract a negative from a negative?
A large negative number. For example: -5-4=-9 You take the negative of the sum of the absolute values: -x-z = -(|-x|+|-z|) = -(x+z) As to what actually happens - some really rather abstract things to do with discrete mathematics.
What happens to the inequality when it is multiplied by a negative number?
The inequality is "flipped" when multiplied by a negative number. For example, if x > y and a is a negative number, then ax < ay.
What happens if you add or subtract a value to both sides of an inequality?
The direction of the inequality remains unchanged. The direction changes when you divide or multiply both sides by a negative number. It also changes if both sides are raised to a negative exponent.
Does an inequality sign change in an equation when both sides are multipled or divided by negative number?
The sign changes if you multiply/divide by a negative number. It stays the same if you add/subtract by a negative number.
What happens when you subtract a positive number from a negative number?
It's the same as adding a positive number.
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
What happens when both sides of a less than inequality are multiplied or divided by a negative number?
The inequality sign becomes greater than (>).
What happens when you subtract a negative number from a positive number?
It's the same as adding a positive number.
What happens to the inequality sign when you divide by a negative integer?
When you divide or multiply both sides of an inequality by a negative integer, the inequality sign must be reversed. For example, if you have the inequality (a < b) and you divide both sides by a negative number, the resulting inequality will be (a / (-n) > b / (-n)), where (n) is a positive integer. This reversal is necessary to maintain the truth of the inequality.
What happens if you subtract a negative by a positive?
When you subtract a negative number from a positive number, it is equivalent to adding the positive number. This is because subtracting a negative is the same as adding its positive counterpart. For example, if you have (5 - (-3)), it becomes (5 + 3), resulting in (8). Therefore, subtracting a negative effectively increases the value of the positive number.
What happens if you subtract a positive and a negative numbers?
In addition different signs you subtract and give the sign of the bigger number. Ex: 6+(-8)= -14
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.
What happens if you multiply or divide an inequality by a negative number?
The inequality sign changes direction. So 2<3 Multiply by -2 and you get -4>-6 (similarly with division).
