Tentukan himpunan penyelesaian 1.|×+4|=2 2.|3×+14|=2 3.|2×-3|<5
Matematika
ayu2777
Pertanyaan
Tentukan himpunan penyelesaian
1.|×+4|=2
2.|3×+14|=2
3.|2×-3|<5
1.|×+4|=2
2.|3×+14|=2
3.|2×-3|<5
1 Jawaban
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1. Jawaban LOVEJOY
Operasi Mutlak
1][
|x + 4| = 2
x + 4 = 2
x = -2
|x + 3| = -2
x + 3 = -2
x = -5
HP = {-2, -5}
2][
|3x + 14| = 2
3x + 14 = 2
3x = -12
x = -4
|3x + 14| = -2
3x + 14 = -2
3x = -16
x = -16/3
HP = {-4, -16/3}
3][
|2x - 3| < 5
2x - 3 < 5
2x < 8
x = 4
|2x - 3| > -5
2x - 3 > -5
2x > -2
x > -1
HP = {4, -1}