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Section 2.13 : Rational Inequalities

Solve each of the following inequalities.

1. \( \displaystyle \frac{{4 - x}}{{x + 3}} > 0\) Solution
2. \( \displaystyle \frac{{2z - 5}}{{z - 7}} \le 0\) Solution
3. \( \displaystyle \frac{{{w^2} + 5w - 6}}{{w - 3}} \ge 0\) Solution
4. \( \displaystyle \frac{{3x + 8}}{{x - 1}} < - 2\) Solution
5. \( \displaystyle u \le \frac{4}{{u - 3}}\) Solution
6. \( \displaystyle \frac{{{t^3} - 6{t^2}}}{{t - 2}} > 0\) Solution