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Pertidaksamaan Nilai Mutlak27.
|(2x -5)/(x+4)|< 1
-1 < |(2x - 5)/(x + 4) | < 1
.
a) untuk -1 < (2x- 5)/(x + 4)
(2x - 5)/(x + 4 ) + 1 > 0
(2x - 5 + x+ 4)/(x + 4) > 0
(3x - 1)/(x + 4) >0
(3x - 1)(x + 4)> 0
x > 1/3 atau x < - 4
b) untuk (2x-5)/(x + 4) > 1
(2x -5)/(x + 4) - 1 > 0
(2x - 5 -x - 4)/(x + 4) > 0
(x - 9) / (x + 4) > 0
(x - 9)(x + 4) > 0
x > 9 atau x < - 4 atau
-4 < x < 9
HP = (x > 1/3) ∩ (x < - 4) ∩ (-4 < x < 9)
HP = 1/3 < x < 9
28.
batas atas 35 + 0,12 = 35,12
batas bawah 35 - 0,12 = 34,88
interval 34,88 ≤ x ≤ 25,12
2.
batas atas = 50,21 + 0,02 = 50,23
batas bawah = 50,21 - 0,02 = 50,19
3.
6 | d- 60| < 300
|d - 60| < 50
-50 < d - 60 < 50
-50 + 60 < d < 50 + 60
10 < d < 110