Solve {l}{x^2+y^2geq1}{x^2+4y^2<25}

$$\left. \begin{array} { l } { x ^ { 2 } + y ^ { 2 } \geq 1 } \\ { x ^ { 2 } + 4 y ^ { 2 } < 25 } \end{array} \right.$$

Solve for x

$$x\in \mathrm{R}\setminus \left(-\sqrt{25-4y^{2}}\text{, }|y|=\frac{5}{2},\sqrt{25-4y^{2}}\text{, }|y|=\frac{5}{2}\cup \left(-\sqrt{1-y^{2}},\sqrt{1-y^{2}}\right)\text{, }|y|<1\cup \begin{bmatrix}\sqrt{25-4y^{2}},\infty\right)\cup \left(-\infty,-\sqrt{25-4y^{2}}\end{bmatrix}\right)\text{, }|y|>1\text{ and }|y|<\frac{5}{2}$$

Solve for y

$$y\in \mathrm{R}\setminus \left(-\frac{\sqrt{25-x^{2}}}{2}\text{, }|x|=5,\frac{\sqrt{25-x^{2}}}{2}\text{, }|x|=5\cup \left(-\sqrt{1-x^{2}},\sqrt{1-x^{2}}\right)\text{, }|x|<1\cup \begin{bmatrix}\frac{\sqrt{25-x^{2}}}{2},\infty\right)\cup \left(-\infty,-\frac{\sqrt{25-x^{2}}}{2}\end{bmatrix}\right)\text{, }|x|>1\text{ and }|x|<5$$