Jawaban:

1)

a) 3(2x -1) = -2( 2x + 9)

6x -3 = -4x - 18

6x + 4x = -18 + 3

10x = -15

x = -15/10

x = -1,5

b) ⅓(6a -9) = ¼ (2a -4)

2a - 3 = ½a - 1

2a - ½a = -1 +3

1,5a = 2

a = 2/1,5

a = 1,3

2)

a) 19 -3a < 2 -5(a +1)

19 -3a < 2 - 5a +5

19 - 3a < -5a + 7

-3a +5a < 7 -19

2a < -12

a < -12/2

a < -6

b) 9 ( b + 1) +3b < 10 (b-1) -5

9b + 9 + 3b < 10b -10 -5

12b + 9 < 10b -15

12b -10 < -15 -9

2b < -24

b < -24/2

b < -12

3)

| 3x -1| = 2

-2 < 3x -1 < 2

-2 + 1< 3x < 2 + 1

-1 < 3x < 3

-⅓ < x < 3/3

-⅓ < x < 1

| x -2| = 5

-5 < x -2 < 5

-5 +2 < x < 5 +2

-3 < x < 7

4) | 2x -1| ≥ 7

-7 ≥ 2x -1 ≥ 7

-7 +1 ≥ 2x ≥ 7 +1

6 ≥ 2x ≥ 8

6/2 ≥ x ≥ 8/2

3≥ x ≥ 4

|3x + 6| < 3

-3< 3x +6 < 3

-3 -6 < 3x < 3 -6

-9 < 3x < -3

-9/3 < x < -3/3

-3 < x < -1

Semoga membantu dan tidak keliru

Mohon koreksi jika ada yang salah