<p><a href="https://www.prepswift.com/quizzes/quiz/prepswift-inequalities-i" target="_blank">Inequalities I Exercise</a></p><p>In this mountain entry, <span style="color:#27ae60;">Solving Inequalities 1</span>, let's discuss how to solve an inequality with the simplest conditions we can think of:</p>
<ul>
<li>We can add or subtract anything we'd like to both sides.</li>
<li>We can multiply or divide ONLY positive numbers.</li>
</ul>
<p>With these conditions, solving an inequality is easy. It's no different than solving an algebraic equation. The sign does NOT change direction.</p>
<p>For example...</p>
<p>$$3x - 7 > 8$$</p>
<p>Add $7$ to both sides.</p>
<p>$$3x > 15$$</p>
<p>Divide each side by $3$.</p>
<p>$$x > 5$$</p>
<p>Magic.</p>