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The direction of the inequality is reversed.

Note that the if the inequality included "or equals" before, then it will after.

4 < 5 multiplied by -1 gives -4 > -5

5 >= 4 multiplied by -1 gives -5 <= -4

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.

If an inequality is multiplied or divided by a negative number then the inequality sign is switched. For example, -2x > 4 then -2x/-2 > 4/-2 then x < -2.

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").

It changes the direction of the inequality.

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

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

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