<span><span>The velocity of an object fired directly upward is given by <span>V = 80 – 32t</span><span>, where </span>t<span> is in seconds.
When will the velocity be between </span>32<span>and </span>64<span> feet per second?</span></span><span>I will set up the compound inequality, and then solve for </span>t:</span><span><span> 32 < 80 – 32t < 64</span> <span> 32 – 80 < 80 – 80 – 32t < 64 – 80</span> <span> –48 < –32t < –16</span><span> –48 /<span> –32</span></span><span> > </span><span><span>–32t</span> /<span> –32</span> </span><span>> </span><span>–16 /<span> –32</span></span><span> 1.5 > t > 0.5</span></span>
