| 2x-3| > | x+4| (2x - 3)² > (x + 4)²4x² - 12x + 9 > x² + 8x + 164x² - 12x + 9 - x² - 8x - 16 > 03x² - 20x - 7 > 0( 3x + 1) (x - 7) = 03x + 1 = 03x = -1x = -1/3x - 7 = 0x = 7___++__-1/3___---____7__+++___Daerah penyelesaian yg +++ krn > dariMakax < -1/3 dan x > 7HP : { x| x< -1/3 atau x > 7}
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Verified answer
| 2x-3| > | x+4|
(2x - 3)² > (x + 4)²
4x² - 12x + 9 > x² + 8x + 16
4x² - 12x + 9 - x² - 8x - 16 > 0
3x² - 20x - 7 > 0
( 3x + 1) (x - 7) = 0
3x + 1 = 0
3x = -1
x = -1/3
x - 7 = 0
x = 7
___++__-1/3___---____7__+++___
Daerah penyelesaian yg +++ krn > dari
Maka
x < -1/3 dan x > 7
HP : { x| x< -1/3 atau x > 7}