Himpunan penyelesaian dari |4x + 5| =|8x-3||

<p>Untuk menyelesaikan persamaan ∣4x+5∣=∣8x−3∣, kita perlu mempertimbangkan dua kemungkinan yang muncul dari sifat nilai mutlak. Persamaan ini dapat dipecah menjadi dua sistem persamaan:</p><p>&nbsp;</p><p>1. 4x + 5 &nbsp;= 8x - 3</p><p>&nbsp; &nbsp; &nbsp;4x - 8x = - 3 - 5</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; - 4x &nbsp;= - 8</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;x = - 8/- 4</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;x = 2</p><p>2. 4x + 5 &nbsp; &nbsp;= - (8x - 3)</p><p>&nbsp; &nbsp; &nbsp;4x + 5 &nbsp; &nbsp;= - 8x + 3</p><p>&nbsp; &nbsp; &nbsp;4x + 8x &nbsp;= 3 - 5</p><p>&nbsp; &nbsp; &nbsp; &nbsp; 12x &nbsp; &nbsp; &nbsp;= - 2</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;x &nbsp; &nbsp; &nbsp;= &nbsp;- 2/12</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;x &nbsp; &nbsp; &nbsp;= - 1/6</p><p>&nbsp;</p><p><strong>Jadi x = ( 2 , - 1/6)</strong></p>