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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 do you do with your inequality if you divide by both sides by a negative number?
If two sides of an inequality are multiplied (or divided) by a negative number, you have to invert the sign. For example, a "less-than" sign becomes a "greater-than" sign.
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 should the inequality sign be flipped?
when you divide the inequality by a negative number, for example -2x > 50 then x < -25
What is a negative number multiplied by a negative number?
A negative number multiplied by another negative number equals a positive number. For example, -5 · -5 = positive 25.
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.
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 do with your inequality if you divide by both sides by a negative number?
If two sides of an inequality are multiplied (or divided) by a negative number, you have to invert the sign. For example, a "less-than" sign becomes a "greater-than" sign.
When should the inequality sign be flipped?
when you divide the inequality by a negative number, for example -2x > 50 then x < -25
What is a negative number multiplied by a negative number?
A negative number multiplied by another negative number equals a positive number. For example, -5 · -5 = positive 25.
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.
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").
How do you use inqualities?
Inequalities are used to compare two expressions that are not equal. To solve inequalities, follow the same rules as equations (e.g. add, subtract, multiply, or divide both sides by the same number), but remember to reverse the inequality sign if you multiply or divide by a negative number. Graph the solution on a number line to represent the possible values that satisfy the inequality.
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.
How do you explain how a negative times a positive makes a negative?
+*-=-. Example. 3*-3=-9.
What is the effect of multiplying both sides of an inequality by a negative number?
It changes the direction of the inequality.
