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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.
What must you do when you multiply or divide each side of an inequality by a negative number?
When you multiply or divide each side of an inequality by a negative number, you must reverse the direction of the inequality sign. For example, if you have ( a < b ) and you multiply both sides by a negative number, the inequality changes to ( -a > -b ). This reversal is crucial to maintain the correct relationship between the two sides of the inequality.
What are the properties in solving equations and inequations?
You can add, subtract, multiply, or divide both sides of the equation or inequality by the same number. Don't multiply or divide by zero. In the case of an inequality, if you multiply or divide by a negative number, the sign of the inequality must be reversed. E.g., if you multiply both sides by -2, a "less-than" sign should be replaced by a "greater-than" sign.
What is the difference between multiplication property of inequality and multiplication property of equality?
The multiplication property of equality states that if you multiply both sides of an equation by the same non-zero number, the two sides remain equal. In contrast, the multiplication property of inequality states that if you multiply both sides of an inequality by a positive number, the inequality remains unchanged, but if you multiply by a negative number, the inequality sign must be flipped. Thus, while equality preserves its form, inequality requires careful handling based on the sign of the multiplier.
If you multiply or divide both sides of an inequality by a number you need to reverse the inequality sign?
negative flip
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
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 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.
When you multiply both sides of any inequality by a negative number you need to do what to the inequality symbol?
You need to change it to the opposite direction; e.g 5 > 1; multiply both sides by -2 it becomes -10 < -2
If you multiply or divide both sides of an inquality by a negative number you need to?
Change the direction of the inequality.
What are the properties in solving equations and inequations?
You can add, subtract, multiply, or divide both sides of the equation or inequality by the same number. Don't multiply or divide by zero. In the case of an inequality, if you multiply or divide by a negative number, the sign of the inequality must be reversed. E.g., if you multiply both sides by -2, a "less-than" sign should be replaced by a "greater-than" sign.
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 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 is the difference between multiplication property of inequality and multiplication property of equality?
The multiplication property of equality states that if you multiply both sides of an equation by the same non-zero number, the two sides remain equal. In contrast, the multiplication property of inequality states that if you multiply both sides of an inequality by a positive number, the inequality remains unchanged, but if you multiply by a negative number, the inequality sign must be flipped. Thus, while equality preserves its form, inequality requires careful handling based on the sign of the multiplier.
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.
When subtracting a number from both sides of an inequality?
The inequality is maintained with the direction of the inequality unchanged.
