Inequalities II

<p><a href="https://www.prepswift.com/quizzes/quiz/prepswift-inequalities-ii" target="_blank">Inequalities II Exercise</a></p><p>However, things get a bit trickier in <span style="color:#27ae60;">Solving Inequalities 2</span>. If we multiply or divide by a negative value, then the inequality sign FLIPS. Insane.</p> <p><strong><span style="color:#8e44ad;">Example</span></strong></p> <p>$$-5x &lt; 10$$</p> <p>Divide both sides by $-5$. Watch what happens to the sign.</p> <p>$$x&gt;-2$$</p> <p><strong><span style="color:#8e44ad;">Example 2</span></strong></p> <p>$$-\frac{7}{18}x &gt; 14$$</p> <p>Multiply both sides by 18.</p> <p>$$-7x &gt; 252$$</p> <p>Divide both sides by $-7$ and FLIP the sign.</p> <p>$$x &lt; -36$$</p>