Himpunan penyelesaian dari pertidaksamaan |2x-1| ≤ |2x-3| adalah....
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Materi : Pertidaksamaan MutlakPembahasan :
|2x - 1| ≤ |2x - 3|
(2x - 1)² ≤ (2x - 3)²
(2x - 1)² - (2x - 3)² ≤ 0
(2x - 1 + 2x - 3)(2x - 1 - 2x + 3) ≤ 0
(4x - 4)(2) ≤ 0
4x - 4 ≤ 0
4x ≤ 4
x ≤ 1
Hp : {x ≤ 1, x € R}