<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>$$-5x < 10$$</p>
<p>Divide both sides by $-5$. Watch what happens to the sign.</p>
<p>$$x>-2$$</p>
<p><strong><span style="color:#8e44ad;">Example 2</span></strong></p>
<p>$$-\frac{7}{18}x > 14$$</p>
<p>Multiply both sides by 18.</p>
<p>$$-7x > 252$$</p>
<p>Divide both sides by $-7$ and FLIP the sign.</p>
<p>$$x < -36$$</p>