Question

1. penyelesaian dari persamaan |5 - 2/3 x| - 9= 8 adalah... 2. pertidaksamaan |4 -2x| ≤ 1 ekuivalen dengan... Tolong di bantu jawab ya kak? pr buat besok

Answer 1

Verified answer

Bab Nilai Mutlak
Matematika SMA Kelas X

1] |5 - (2/3) x | - 9 = 8
|5 - (2/3) x| = 8 + 9
|5 - (2/3) x| = 17

5 - (2/3) x = 17
- (2/3) x = 17 - 5
x = 12 . (-3/2)
x = -18

5 - (2/3) x = -17
(-2/3) x = -17 - 5
x = -22 . (-3/2)
x = 33

HP = {-18, 33}

2] |4 - 2x| ≤ 1
-1 ≤ 4 - 2x ≤ 1
-1 - 4 ≤ -2x ≤ 1 - 4
-5 ≤ -2x ≤ -3
-5/-2 ≥ x ≥ -3/-2
5/2 ≥ x ≥ 3/2
3/2 ≤ x ≤ 5/2


HP = { x | 3/2 ≤ x ≤ 5/2, x ∈ bilangan real }