Question

Himpunan penyelesaian dari |x-7| - |x-2| = 3 adalah

dgn jalannya

Answer 1

Verified answer

|x - 7| - |x - 2| = 3

4 Kemungkinan
i. x - 7 - x + 2 = 3 , utk x - 7 ≥ 0 , x - 2 ≥ 0 (x ≥ 7)
ii. x - 7 + x - 2 = 3 , utk x - 7 ≥ 0 , x - 2 < 0 (x ≥ 7 atau x < 2)
iii. -(x - 7) - x + 2 = 3 , utk x - 7 < 0 , x - 2 ≥ 0 (2 ≤ x < 7)
iv. -(x - 7) + x - 2 = 6 , utk x - 7 < 0 , x - 2 < 0 (x < 7)

Hasil
i. x ∈ ∅
ii. x = 6 (tdk memenuhi)
iii. x = 3 ( memenuhi)
iv. x ∈ ∅

HP : { 3 }

Answer 2

...............................