<p>Given that $a, b,$ and $c$ are three non-zero integers such that:</p>
<ol class="num-list"><li><div class="list-item-paragraph">$a \times b &lt;0$</div></li><li><div class="list-item-paragraph">$b \div c &gt;0$</div></li><li><div class="list-item-paragraph">$a&lt;0&lt;b$</div></li></ol>
<p>Determine whether the following expressions are Always Positive, Always Negative, or could be both:</p>
<ol class="abc-list"><li><div class="list-item-paragraph">$a \times c$</div></li><li><div class="list-item-paragraph">$b-a$</div></li><li><div class="list-item-paragraph">$-b-\frac{a}{c}$</div></li></ol>

Given that $a, b,$ and $c$ are three non-zero integers such that:

Determine whether the following expressions are Always Positive, Always Negative, or could be both:

Real Numbers

Real Numbers