Q: Explain what happens when both sides of an inequality is multiplied by a negative number give an example to support your answer?

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The inequality is "flipped" when multiplied by a negative number. For example, if x > y and a is a negative number, then ax < ay.

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 the inequality by a negative number, for example -2x > 50 then x < -25

A negative number multiplied by another negative number equals a positive number. For example, -5 · -5 = positive 25.

+*-=-. Example. 3*-3=-9.

Related questions

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 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.

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 the inequality by a negative number, for example -2x > 50 then x < -25

A negative number multiplied by another negative number equals a positive number. For example, -5 · -5 = positive 25.

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").

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.

It changes the direction of the inequality.

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

+*-=-. Example. 3*-3=-9.

Explain the addition and multiplication properties of inequalities

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