Systems of Nonlinear Inequalities with No Solutions
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- A graph of nonlinear inequalities that has no solutions has no overlapping sections. Here's the graph of the system: {x2+2x−1<y−x2+3x+−2>y\\\begin{cases}x^2+2x-1<y\\-x^2+3x+-2>y…
By Alex Federspiel, Anusha Rahman
- Systems of Nonlinear Inequalities with No Solutions In the previous lessons, you were able to learn how to graph systems of nonlinear inequalities. The method is very similar to…
By Anusha Rahman
- (Video) Systems of Nonlinear Inequalities with No Solution by Anusha Rahman In this video by Anusha Rahman, you will learn how to solve a system of nonlinear inequalities with n…
By Anusha Rahman
Problems 11
- Which of the following are true?
- Graph the system of nonlinear inequalities and determine whether or no there's a solution. {12 x3+−32 x2+2>yx2+y2<4\\\begin{cases}\frac{1}{2}\ x^3+-\frac{3}{2}\ x^2+2>y\\x^2+y^2…
- Graph the system of nonlinear inequalities and determine whether or no there's a solution. {∣2x−1∣+1<y−∣2x+1∣+3>y\\\begin{cases}\left|2x-1\right|+1<y\\-\left|2x+1\right|+3>y\end…
- Graph the system of nonlinear inequalities and determine whether or no there's a solution. {(x+4)2+(y+4)2≤16(x−4)2+(y+4)2≤16(x−4)2+(y−4)2≤16(x+4)2+(y−4)2≤16\\\begin{cases}\left(…
- Graph the system of nonlinear inequalities and determine whether or no there's a solution. {x2−y>5x2+y2>25\\\begin{cases}x^2-y>5\\x^2+y^2>25\end{cases}{x2−y>5x2+y2>25
- Graph the system of nonlinear inequalities and determine whether or no there's a solution. {−x2+y2≤x3+y3−x2+y2≤−x3−y3\\\begin{cases}-x^2+y^2\le x^3+y^3\\-x^2+y^2\le -x^3-y^3\end…
- Graph the system of nonlinear inequalities and determine whether or no there's a solution. {x2y2>5x2+y2<4\\\begin{cases}x^2y^2>5\\x^2+y^2<4\end{cases}{x2y2>5x2+y2<4
- Is there a solution? If there is, can we alter equation (2) so that there is no solution?
- Can we change these to system of inequalities in a way such that there is no solution? {y=2x2+4x−5y=x2+2x−3\begin{cases} y=2x^2+4x-5\\ y=x^2+2x-3 \end{cases}{y=2x2+4x−5y=x2+2x−3
- Is there a solution? If not, how can we change the inequalities such that there is a solution? Check all the applies
- Can we change these to system of inequalities in a way such that there is no solution? {x2−y<02x2+y<12\begin{cases} x^2-y<0\\ 2x^2+y<12 \end{cases}{x2−y<02x2+y<12