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Section 2.7 – Nonlinear Inequalities

Section Details.
  • Solving a nonlinear inequality and writing the answer in interval notation


Practice Problems


Directions. The following are review problems for the section. We recommend you work the problems yourself, and then click "Answer" to check your answer. If you do not understand a problem, you can click "Video" to learn how to solve it. 
 
  1. Solve \(-x^{2} + 9x \geq -22\).

    \([-2,11]\)


    To see the full video page and find related videos, click the following link.
    WIR3 20B M150 V14


  2. Solve \(\displaystyle{(x+5)^3(1-2x)^2 < 0}\).

    \((-\infty,-5)\)


    To see the full video page and find related videos, click the following link.
    WIR3 20B M150 V15


  3. Solve \(\displaystyle{9x^{2} + 6x + 1 > 0}\).

    \(\left(-\infty,-\dfrac{1}{3}\right)\cup\left(-\dfrac{1}{3},\infty\right)\)


    To see the full video page and find related videos, click the following link.
    WIR3 20B M150 V16


  4. Solve \(\displaystyle{(x-100)^{2}\leq 0}\). 

    \(\{100\}\)


    To see the full video page and find related videos, click the following link.
    WIR3 20B M150 V17