sama jalannya tolong bantu ya 1. [tex] \frac{2x-1}{x} \leq 1 [/tex] 2.[tex] \frac{2x²-7+3 }{(x-2)²(x+1)}<0 [/tex] 3.nilai mutlak dari [tex] \frac{x-2}{x+3} \leq
Matematika
gumantyaudila11
Pertanyaan
sama jalannya tolong bantu ya
1. [tex] \frac{2x-1}{x} \leq 1 [/tex]
2.[tex] \frac{2x²-7+3 }{(x-2)²(x+1)}<0 [/tex]
3.nilai mutlak dari [tex] \frac{x-2}{x+3} \leq 2 =[/tex]
1. [tex] \frac{2x-1}{x} \leq 1 [/tex]
2.[tex] \frac{2x²-7+3 }{(x-2)²(x+1)}<0 [/tex]
3.nilai mutlak dari [tex] \frac{x-2}{x+3} \leq 2 =[/tex]
1 Jawaban
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1. Jawaban triskaamanda
1. 2x-1 per x ≤ 1
2x-1 per x - 1 ≤ 0 (dikalikan x)
2x-1-x per x ≤ 0
x-1 ≤ 0
x ≤ 1
3. |x-2| ≤ 2|x+3|
|x-2| ≤ |2(x+3)| -> (x-2)² ≤ (2(x+3))²
(x-2)²-(2(x+3))² ≤ 0
((x-2)+2(x+3))((x-2)-2(x+3)) ≤ 0
(x-2+2x+6)(x-2-2x-6) ≤ 0
(3x+4)(-x-8) ≤ 0
x = -4/3 atau x = -8
Hp = x ≥ -4/3 atau x ≤ 8
Maaf kalau salah
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