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# How would you multiply or divide an inequality?

Updated: 9/18/2023

Questions101girl

Lvl 1
13y ago

An inequality is just an equation that has a cooler, more fun symbol in place of an equal sign. You would operate just as you would if you were multiplying or dividing any equation, except you get a specific spectrum of answers instead of just one value.

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13y ago

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Q: How would you multiply or divide an inequality?
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### When you have to reverse the inequality sign?

The usual case is when you multiply or divide an inequality by a negative number.

### What are the properties in solving equations and inequations?

You can add, subtract, multiply, or divide both sides of the equation or inequality by the same number. Don't multiply or divide by zero. In the case of an inequality, if you multiply or divide by a negative number, the sign of the inequality must be reversed. E.g., if you multiply both sides by -2, a "less-than" sign should be replaced by a "greater-than" sign.

negative flip

### What must occur in a linear inequality when you divide or multiply by a negative number?

The inequality sign must be flipped.

### When you must reverse the inequality sign?

When solving an inequality, you must revers the inequality sign when you multiply (or divide) both sides by a negative number.

yes ... and so?

### Do you only flip the inequality when you divide by a negative number?

Yes you do, you also flip the inequality sign if you multiply by a negative # The &gt; and &lt; signs are strictly the "Greater than" and "Less than" signs. The inequality sign is an = with a / stroke through it. If you divide an inequality by -1 it remains an inequality.

### What happens if you multiply or divide an inequality by a negative number?

The inequality sign changes direction. So 2&lt;3 Multiply by -2 and you get -4&gt;-6 (similarly with division).

### Do you switch the sign when you multiply or divide an inequality?

Only when what you're multiplying by/dividing by is negative.

### How is inequality differant from equation?

The difference is that instead of the sign "=", an inequality sign, for example "&lt;" (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, "&lt;" becomes "&gt;".

### If you multiply or divide both sides of an inquality by a negative number you need to?

Change the direction of the inequality.

### Do you flip the sign of this inequality 8x plus 4y12?

Only when you multiply or divide by a negative number