Tentukan himpunan penyelesaiannya1. |8-x| ≤42. |4x-5| <3​

nilai mutlak

1.

|8 – x| ≤ 4

-4 ≤ 8 – x ≤ 4

-4 – 8 ≤ 8 – x – 8 ≤ 4 – 8

-12 ≤ -x ≤ -4

-12/-1 ≥ -x/-1 ≥ -4/-1

12 ≥ x ≥ 4

HP = {x| 4 ≤ x ≤ 12, x ∈ R}

2.

|4x – 5| < 3

-3 < 4x – 5 < 3

(-4 + 5)/4 < x < (3 + 5)/4

1/4 < x < 2

HP = {x| 1/4 < x < 2, x ∈ R}