Performing multiplication or division with an inequality is nearly identical to multiplying or dividing parts of traditional equations with one exception, covered below. There is one very important exception to the rule that multiplying or dividing an inequality is the same as multiplying or dividing an equation. Whenever you multiply or divide an inequality by a negative number, you must flip the inequality sign. How to Divide Negative Numbers.
How to Determine Linear Equations. How to Do Math Problems in Algebra 1. How to Calculate the Equation of a Line. How to Solve Absolute Value Inequalities.
How to Find the Domain of a Function Defined by an How to Compare Negative Fractions. How to Solve for a Variable. How to Get the Value of a Letter in Algebra 1.
Just remember to multiply or divide both sides by the same quantity, then simplify! Here Patrick JMT has a good video explaining how to go about solving a few inequalities using division.
We can multiply and divide to solve inequalities just like we do with equations. But, there is one catch. Solve Inequalities with Negative Multiplication or Division — Examples - Expii Solving an inequality with multiplication or division of a negative number flips the inequality symbol.
Pre-Algebra One-Step Inequalities. Explanations 3. Tommy San Miguel. Solving Inequalities: Multiplication by a Negative Number: Sometimes, it is necessary to multiply an inequality by a negative number in order to solve the inequality. We'll try to move everything else to the other side. Here's why: Imagine comparing the numbers 5 and 3. But to be neat it is better to have the smaller number on the left, larger on the right.
So let us swap them over and make sure the inequalities point correctly :. Hide Ads About Ads. Solving Inequalities Sometimes we need to solve Inequalities like these: Symbol. Some things can change the direction! Multiply or divide both sides by a negative number Swapping left and right hand sides.
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