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When you multiply both sides of an inequality by a number that is?
When you multiply both sides of an inequality by a positive number, the direction of the inequality remains unchanged. However, if you multiply both sides by a negative number, the direction of the inequality must be reversed. This is crucial to maintain the truth of the inequality. Always be mindful of the sign of the number you are multiplying by.
If both sides of an inequality are multiplied of divided by the same positive number the direction of the inequality symbol is?
If both sides of an inequality are multiplied or divided by the same positive number, the direction of the inequality symbol remains the same. For example, if you have ( a < b ) and you multiply both sides by a positive number ( c ), the inequality remains ( ac < bc ). This property holds true for all positive numbers, ensuring the relationship between the two sides is preserved.
If you multiply or divide both sides of an inequality by a number you need to reverse the inequality sign?
negative flip
When solving an inequality you must reverse the order of the inequality whenever you multiply both sides of the inequality by any number.?
You only need to reverse the order of the inequality when multiplying or dividing both sides by a negative number. If you multiply or divide by a positive number, the order of the inequality remains the same. This is crucial to maintain the truth of the inequality. Always be cautious about the sign of the number you are using in these operations.
Can you divide both sides of the equation by a negative number?
Yes, you can divide both sides of an equation by a negative number, but it is important to remember that this action will reverse the inequality if the equation involves one. For example, if you have an inequality like ( x > y ) and you divide both sides by a negative number, the inequality changes to ( x < y ). In the case of an equation, however, the equality remains valid.
When do you have to flip the greater than or less than or equal to sign in a inequality equation?
You need to flip the inequality sign when you multiply or divide both sides of the inequality by a negative number. For example, if you have an inequality like ( -2x < 6 ) and you divide by -2, it becomes ( x > -3 ). However, when adding or subtracting a number from both sides, the inequality sign remains unchanged.
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
If both sides of an inequality are multiplied of divided by the same positive number the direction of the inequality symbol is?
If both sides of an inequality are multiplied or divided by the same positive number, the direction of the inequality symbol remains the same. For example, if you have ( a < b ) and you multiply both sides by a positive number ( c ), the inequality remains ( ac < bc ). This property holds true for all positive numbers, ensuring the relationship between the two sides is preserved.
When is the only time you flip an inequality sign?
When you divide both sides of an inequality by a negative number, the inequality sign flips.
If you multiply or divide both sides of an inequality by a number you need to reverse the inequality sign?
negative flip
When you divide both sides of any inequality by a negative number you need to what the inequality symbol?
Flip it around
When solving an inequality you must reverse the order of the inequality whenever you multiply both sides of the inequality by any number.?
You only need to reverse the order of the inequality when multiplying or dividing both sides by a negative number. If you multiply or divide by a positive number, the order of the inequality remains the same. This is crucial to maintain the truth of the inequality. Always be cautious about the sign of the number you are using in these operations.
When you multiply both sides of any inequality by a negative number you need to the inequality symbol?
When an Inequality expression is multiplied (or divided) by a negative number then the Inequality sign is reversed. Example : -9x < 18 : -x < 2 : x > -2........as both sides have been multiplied by -1.
What do you need to do to the inequality sign if you multiply or divide both sides of an inequality by a negative number?
Leave it alone. You cannot make an inequality into an equality by multiplying both sides of the inequation by the same number. If instead of the inequality sign you are using a lesser or greater than sign, however, you will need to reverse it if you multiply both sides by the same negative number, e.g. 10>4. If you multiply both sides by -2, you need to change the > into a <, so -20<-8
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.
When you must reverse the inequality sign?
When solving an inequality, you must revers the inequality sign when you multiply (or divide) both sides by a negative number.
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
