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# 3.15: Solve Inequalities Using Division

Difficulty Level: At Grade Created by: CK-12
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### Vocabulary Language: English

Division Property of Inequality

Division Property of Inequality

The division property of inequality states that two unequal values divided by a positive number retain the same relationship. Two unequal values divided by a negative number result in a reversal of the relationship.
Equivalent Fractions

Equivalent Fractions

Equivalent fractions are fractions that can each be simplified to the same fraction. An equivalent fraction is created by multiplying both the numerator and denominator of the original fraction by the same number.
inequality

inequality

An inequality is a mathematical statement that relates expressions that are not necessarily equal by using an inequality symbol. The inequality symbols are $<$, $>$, $\le$, $\ge$ and $\ne$.
Multiplication Property of Inequality

Multiplication Property of Inequality

The multiplication property of inequality states that when an inequality is multiplied by a negative number, the sense of the inequality changes and the sign is reversed.

Dec 19, 2012

Aug 10, 2015