Question

no 2 a,b tolong di jawab ​

Answer 1

Penjelasan dengan langkah-langkah:

PERTIDAKSAMAAN NILAI MUTLAK

a. |x – 2| < 3|x + 7|

|x – 2| – |3x + 21| < 0

(x – 2)² – (3x + 21)² < 0

(x–3x–2–21)(x+3x–2+21) < 0

(–2x–23)(4x+19) < 0

–2x – 23 < 0

–2x < 23

x > –23

2

4x + 19 < 0

4x < – 19

x < –19

4

HP = { x | –23/2 < x < –19/4 } ✔

b. |2x – 5| > |x + 4|

|2x – 5| – |x + 4| > 0

(2x–x–5–4)(2x+x–5+4) > 0

(x – 9)(3x – 1) > 0

x – 9 > 0

x > 9

3x – 1 < 0

3x < 1

x < ⅓

HP = { x | x < ⅓ atau x > 9 } ✔