himpunan penyelesaian dari |2x-5| ≤ 5

Materi : Pertidaksamaan Mutlak

Pembahasan :
|2x - 5| ≤ 5
(2x - 5)² ≤ 5²
(2x - 5)² - 5² ≤ 0
(2x - 5 + 5)(2x - 5 - 5) ≤ 0
(2x)(2x - 10) ≤ 0
4x² - 20x ≤ 0
x² - 5x ≤ 0
x(x - 5) ≤ 0
0 ≤ x ≤ 5

Hp : {0 ≤ x ≤ 5, x € R}

|2x-5| <= 5
2x-5 <= 5
2x <= 5+5
2x <= 10
x <= 5

|2x-5| <= -5
2x-5 <= -5
2x <= -5+5
2x <= 0
x <= 0

Hp {x| 0 <= x <= 5,x elemen R }