Contoh Soal: Contoh Soal Pertidaksamaan Nilai Mutlak Linear Satu Variabel

Zona Ilmu 8 Contoh Soal Pertidaksamaan Tanda Mutlak

$\begin{array}{llll}\\ 3&\textrm{a}.&\left | 1-\left | -2 \right | \right |+\left | 2-\left | -3 \right | \right |+\left | 3-\left | -4 \right | \right |+\left | 4-\left | -5 \right | \right |\\ &&=\left | 1-2 \right |+\left | 2-3 \right |+\left | 3-4 \right |+\left | 4-5 \right |\\ &&=\left | -1 \right |+\left | -1 \right |+\left | -1 \right |+\left | -1 \right |\\ &&=1+1+1+1\\ &&=4\\ &\textrm{b}.&\left | \displaystyle \frac{1}{1-\sqrt{2}} \right |+\left |\displaystyle \frac{1}{\sqrt{2}-\sqrt{3}} \right |+\left |\displaystyle \frac{1}{\sqrt{3}-2} \right |\\ &&=\left | \displaystyle \frac{1}{1-\sqrt{2}}\times \frac{1+\sqrt{2}}{1+\sqrt{2}} \right |+\left |\displaystyle \frac{1}{\sqrt{2}-\sqrt{3}}\times \frac{\sqrt{2}+\sqrt{3}}{\sqrt{2}+\sqrt{3}} \right |+\left |\displaystyle \frac{1}{\sqrt{3}-2}\times \frac{\sqrt{3}+2}{\sqrt{3}+2} \right |\\ &&=\left | -\left ( 1+\sqrt{2} \right ) \right |+\left | -\left ( \sqrt{2}+\sqrt{3} \right ) \right |+\left | -\left ( \sqrt{3}+2 \right ) \right |\\ &&=\left ( 1+\sqrt{2} \right )+\left ( \sqrt{2}+\sqrt{3} \right )+\left ( \sqrt{3}+2 \right )\\ &&=3+2\left ( \sqrt{2}+\sqrt{3} \right ) \end{array}$

Rpp 1 Spl Dan Nilai Mutlak Doc