Jawaban:

1. Hp = {2, 5}

2. Hp = {-9, 5}

3. Hp = {1, 9}

4. Hp = ∅

5. Hp = {-7, 2}

6. Hp = {2, 6}

Penjelasan dengan langkah-langkah:

Menggunakan sifat mutlak

ax - b = c

menjadi:

ax - b = c atau ax - b = -c

1. |2x - 7| = 3

• 2x - 7 = 3

• 2x = 10

• x = 5

atau

• 2x - 7 = -3

• 2x = 4

• x = 2

Hp = {2, 5}

2. |x + 2| = 7

• x + 2 = 7

• x = 5

atau

• x + 2 = -7

• x = -9

Hp = {-9, 5}

3. |x - 5| = 4

• x - 5 = 4

• x = 9

atau

• x - 5 = -4

• x = 1

Hp = {1, 9}

4. |x + 6| = -1

Tidak terdefinisi, karena hasil nilai mutlak pasti bilangan positif.

Hp = ∅

5. |2x + 5| = 9

• 2x + 5 = 9

• 2x = 4

• x = 2

atau

• 2x + 5 = -9

• 2x = -14

• x = -7

Hp = {-7, 2}

6. |3x - 12| = 6

• 3x - 12 = 6

• 3x = 18

• x = 6

atau

• 3x - 12 = -6

• 3x = 6

• x = 2

Hp = {2, 6}