Himpunan penyelesaian dari |x-7| – |x-2| = 3 adalahdgn jalannya

|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 }

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