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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 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 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 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.
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.
What is the effect of multiplying both sides of an inequality by a negative number?
It changes the direction of the inequality.
How do you explain how a negative times a positive makes a negative?
+*-=-. Example. 3*-3=-9.
What is a negative mupltiplied by a negative?
A negitive multiplied by a negitive is a Positive. Two of the same signs multiplied by each other is a positive. Example: -5*-5=25 5*5=25
Give an example of an inequality using multiplication and addition properties of inequalities?
Explain the addition and multiplication properties of inequalities
What is the rule for determining the sign of the product of two fractions?
It is the same as determining the sign of the product of two integers;+ x + = ++ x - = -- x + = -- x - = +ORIf only positive numbers are multiplied, the result is positive.If positive and an even number of negative numbers (for example, + x - x -) are multiplied, the result is positive.If positive and an odd number of negative numbers (for example, + x + x -) are multiplied, the result is negative.If an even number of negative numbers (for example, - x -) are multiplied, the result is positive.If an odd number of negative numbers (for example, - x - x -) are multiplied, the result is negative.Remember the rule:Product of a positive and a positive fraction is always positive.Product of a positive and a negative fraction is always negative.Product of a negative and a positive fraction is always negative.Product of a negative and a negative fraction is always positive.Examples:½ * ¼ = 1/8½ * -¼ = -1/8-½ * ¼ = -1/8-½ * -¼ = 1/8Source: www.icoachmath.com
