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What three actions can cause the direction of an inequality symbol to change?
The direction of an inequality symbol can change when you multiply or divide both sides of the inequality by a negative number, which reverses the inequality. Additionally, if you add or subtract a term that is common on both sides without affecting the inequality's balance, the direction remains unchanged. However, if the operation involves terms that can alter the order of values, such as modifying a variable's sign, the direction may also change.
How do you know when to reverse the direction of an inequality symbol?
u only reverse the sign when u multiply or divide by a NEGATIVE number...otherwise u don't change the direction
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 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.
When you multiply or divide both sides by a negative number then switch the direction of the?
The relation = , is less than, is greater than inequality sign
What happens to the inequality symbol when you subtract a negative number?
The inequality symbol doesn't change direction in this case.Note that that is the same as adding a positive number.Note also that if you MULTIPLY or DIVIDE by a negative number, then you need to change the direction of the inequality symbol.
How do you divide by a negative in an inequality?
You divide as normal BUT you change the direction of the inequality symbol, so that < becomes > and conversely.
If you multiply or divide both sides of an inquality by a negative number you need to?
Change the direction of the inequality.
What three actions can cause the direction of an inequality symbol to change?
The direction of an inequality symbol can change when you multiply or divide both sides of the inequality by a negative number, which reverses the inequality. Additionally, if you add or subtract a term that is common on both sides without affecting the inequality's balance, the direction remains unchanged. However, if the operation involves terms that can alter the order of values, such as modifying a variable's sign, the direction may also change.
How do you know when to reverse the direction of an inequality symbol?
u only reverse the sign when u multiply or divide by a NEGATIVE number...otherwise u don't change the direction
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.
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
Explain how solving inequalities is alike and different from solving equations?
Most of the steps are the same. The main difference is that if you multiply or divide both sides of an inequality by a NEGATIVE number, you must change the direction of the inequality sign (for example, change "less than" to "greater than").
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).
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 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.
How is inequality differant from equation?
The difference is that instead of the sign "=", an inequality sign, for example "<" (less-than) is used. For solving inequalities, you can add, subtract, multiply or divide both sides by the same number, similar to an equation; however, if you multiply or divide by a negative number, the direction of the inequality changes. For example, "<" becomes ">".
