Question

Carilah Himpunan penyelesaian nilai mutlak dari

|2-x| > |x-4|

Answer 1

Verified answer

Bab Nilai Mutlak
Matematika SMA Kelas X

|2 - x| > |x - 4|

(2 - x)² > (x - 4)²
(2 - x)² - (x - 4)² > 0
(2 - x + x - 4) (2 - x - x + 4) > 0
(-2) . (-2x + 6) < 0
-2x + 6 < 0
-2x < -6
-2x/-2 > -6/-2
x > 3

HP = { x | x > 3, x ∈ bilangan real }