Tolong plis l4x+2l <12

Materi : Pertidaksamaan Mutlak

Pembahasan :
|4x + 2| ≤ 14
(4x + 2)² ≤ 14²
(4x + 2)² - 14² ≤ 0
(4x + 2 + 14)(4x + 2 - 14) ≤ 0
(4x + 16)(4x - 12) ≤ 0
-4 ≤ x ≤ 3

Hp : {-4 ≤ x ≤ 3}

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|4x + 2| < 12
(4x + 2)² < 12²
(4x + 2)² - 12² < 0
(4x + 2 + 12)(4x + 2 - 12) < 0
(4x + 14)(4x - 10) < 0
-7/2 < x < 5/2

Hp : {-7/2 < x < 5/2}