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When solving an inequality when do you reverse the inequality sign?
When you divide both sides by a negative value
When you have to reverse the inequality sign?
The usual case is when you multiply or divide an inequality by a negative number.
How do you solve an inequality when using the distributive property?
You solve an inequality in the same way as you would solve an equality (equation). The only difference is that if you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality sign. Thus, if you have -3x < 9 to find x, you need to divide by -3. That is a negative number so -3x/(-3) > 9/(-3) reverse inequality x > -3
How do you solve an inequality in one variable?
It depends on the specific inequality. In the simplest cases, it is solved just like an equation; except that you must be careful when multiplying and dividing - if you multiply or divide both sides by a negative number, you must switch the inequality sign. For instance, a "less-than" sign would be changed to a "greater-than" sign.
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.
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.
When solving an inequality when do you reverse the inequality sign?
When you divide both sides by a negative value
When you have to reverse the inequality sign?
The usual case is when you multiply or divide an inequality by a negative number.
Is 82 an inequalitie?
No. An inequality must have an inequality sign, for example, "<".
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 must occur in a linear inequality when you divide or multiply by a negative number?
The inequality sign must be flipped.
How do you solve an inequality when using the distributive property?
You solve an inequality in the same way as you would solve an equality (equation). The only difference is that if you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality sign. Thus, if you have -3x < 9 to find x, you need to divide by -3. That is a negative number so -3x/(-3) > 9/(-3) reverse inequality x > -3
What are the critical features of an inequality?
An inequality must have a greater than sign (>) OR a less than sign (<) OR a greater than or equal to sign (≥) OR a less than or equal to sign (≤).
Explain how solving -7y > 161 is different from solving 7y > -161?
Sample response: Both inequalities use the division property to isolate the variable, y. When you divide by a negative number, like –7, you must reverse the direction of the inequality sign. When you divide by a positive number, like 7, the inequality sign stays the same. The solution to the first inequality is y > -23, and the solution to the second inequality is y
Is xl7.6x7.0 an inequality?
No. To be an inequality, it must somewhere have a greater than, less than, greater-or-equal, or less-or-equal sign.
