<h2>Key Concepts</h2>
<ul data-bullet-style="bullet">
<li><strong>Subtraction Property of Inequality</strong>
<div>For any numbers a, b, and c,</div>
<div>if \(a&lt;b\) then \(a-c&lt;b-c\) and</div>
<div>if \(a&gt;b\) then \(a-c&gt;b-c.\)</div>
</li>
<li><strong>Addition Property of Inequality</strong>
<div>For any numbers a, b, and c,</div>
<div>if \(a&lt;b\) then \(a+c&lt;b+c\) and</div>
<div>if \(a&gt;b\) then \(a+c&gt;b+c.\)</div>
</li>
<li><strong>Division and Multiplication Properties of Inequalit</strong><strong>y</strong>
<div>For any numbers a, b, and c,</div>
<div>if \(a&lt;b\) and \(c&gt;0\), then \(\frac{a}{c}&lt;\frac{b}{c}\) and \(ac&gt;bc\).</div>
<div>if \(a&gt;b\) and \(c&gt;0\), then \(\frac{a}{c}&gt;\frac{b}{c}\) and \(ac&gt;bc\).</div>
<div>if \(a&lt;b\) and \(c&lt;0\), then \(\frac{a}{c}&gt;\frac{b}{c}\) and \(ac&gt;bc\).</div>
<div>if \(a&gt;b\) and \(c&lt;0\), then \(\frac{a}{c}&lt;\frac{b}{c}\) and \(ac&lt;bc\).</div>
</li>
<li>When we <strong>divide or multiply</strong> an inequality by a:

<ul data-bullet-style="open-circle" style="list-style-type: square;">
<li><strong>positive</strong> number, the inequality stays the <strong>same</strong>.</li>
<li><strong>negative</strong> number, the inequality <strong>reverses</strong>.</li>
</ul>
</li>
</ul>

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Key Concepts

Mathematics studies measurement, relationships, and properties of quantities and sets, using numbers and symbols. Arithmetic, algebra, geometry, and calculus are popular topics in mathematics.

Mathematics

Explore different ways to solve linear equations, including using addition/subtraction and multiplication/division properties of equality and inequalities, simplifying, translating and solving word problems, and graphing inequalities on a number line.


Solving Linear Equations II

Key Concepts

Key Concepts

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