Nomor 1

|x + 2| = |⅓x + 5|

› Untuk x ≥ 0

ㅤ(x + 2) = (⅓x + 5)

ㅤx – ⅓x = 5 – 2

ㅤㅤ ⅔x = 3

ㅤㅤㅤ x = 3 × ³/₂

ㅤㅤ ㅤx = ⁹/₂

› Untuk x < 0

ㅤ(x + 2) = - (⅓x + 5)

ㅤ x + 2 = - ⅓x – 5

x + ⅓x = -5 – 2

ㅤ ⁴/₃x = -7

ㅤㅤ x = -7 × ³/₄

ㅤㅤ x = -²¹/₄

∴ Jadi, HP = {-²¹/₄, ⁹/₂}

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Nomor 2

|x - 2| + |x - 7| = 6

-(x - 2) – (x – 7) = 6

-x + 2 – x + 7 = 6

ㅤㅤ -2x + 9 = 6

ㅤㅤㅤㅤ-2x = 6 – 9

ㅤㅤㅤㅤ-2x = -3

ㅤㅤㅤㅤㅤx = ³/₂

(x – 2) + (x – 7) = 6

x – 2 + x – 7 = 6

ㅤㅤ 2x – 9 = 6

ㅤㅤㅤㅤ 2x = 6 + 9

ㅤㅤㅤㅤ 2x = 15

ㅤㅤㅤㅤㅤx = ¹⁵/₂

∴ Jadi, HP = {³/₂, ¹⁵/₂}