Himpunan penyelesaian dari ∣ 1 − x ∣ − 1 = 4 \left|1-x\right|-1=4 ∣ 1 − x ∣ − 1 = 4 adalah...

{ − 4 , 6 } \left\{-4,6\right\} { − 4 , 6 }

{ 2 , 3 } \left\{2,3\right\} { 2 , 3 }

{ 4 , 6 } \left\{4,6\right\} { 4 , 6 }

Tentukan nilai x yang memenuhi dari persamaan ∣ 2 x + 16 ∣ = x + 4 \left|2x+16\right|=x+4 ∣ 2 x + 1 6 ∣ = x + 4 ...

{ − 20 3 , − 12 } \left\{-\frac{20}{3},-12\right\} { − 3 2 0 , − 1 2 }

{ − 20 3 } \left\{-\frac{20}{3}\right\} { − 3 2 0 }

{ − 12 } \left\{-12\right\} { − 1 2 }

Tentukan himpunan penyelesaian dari pertidaksamaan ∣ − 3 x + 2 ∣ > 8 \left|-3x+2\right|>8 ∣ − 3 x + 2 ∣ > 8 ...

{ x < − 2 a t a u x > 10 3 } \left\{x<-2\ atau\ x>\frac{10}{3}\right\} { x < − 2 a t a u x > 3 1 0 }

{ x < − 10 3 a t a u x > 2 } \left\{x<-\frac{10}{3}\ atau\ x>2\right\} { x < − 3 1 0 a t a u x > 2 }

{ − 2 < x < 10 3 } \left\{-2<x<\frac{10}{3}\right\} { − 2 < x < 3 1 0 }

{ − 10 3 < x < 2 } \left\{-\frac{10}{3}<x<2\right\} { − 3 1 0 < x < 2 }

himpunan penyelesaian pertidaksamaan ∣ 2 x ∣ > 4 \left|2x\right|>4 ∣ 2 x ∣ > 4 adalah...

{ x < − 2 a t a u x > 2 } \left\{x<-2\ atau\ x>2\right\} { x < − 2 a t a u x > 2 }

{ − 4 < x < 4 } \left\{-4<x<4\right\} { − 4 < x < 4 }

{ − 2 < x < 2 } \left\{-2<x<2\right\} { − 2 < x < 2 }

{ x < − 4 a t a u x > 4 } \left\{x<-4\ atau\ x>4\right\} { x < − 4 a t a u x > 4 }

Penyelesaian pertidaksamaan ∣ 2 x + 4 ∣ ≥ ∣ x + 5 ∣ \left|2x+4\right|\ge\left|x+5\right| ∣ 2 x + 4 ∣ ≥ ∣ x + 5 ∣ adalah...

{ x ≤ − 3 a t a u x ≥ 1 } \left\{x\le-3\ atau\ x\ge1\right\} { x ≤ − 3 a t a u x ≥ 1 }

{ x ≤ − 1 a t a u x ≥ 3 } \left\{x\le-1\ atau\ x\ge3\right\} { x ≤ − 1 a t a u x ≥ 3 }

{ − 3 ≤ x ≤ 1 } \left\{-3\le x\le1\right\} { − 3 ≤ x ≤ 1 }

{ − 1 ≤ x ≤ 3 } \left\{-1\le x\le3\right\} { − 1 ≤ x ≤ 3 }

Tentukan himpunan penyelesaian dari ∣ 2 x − 3 ∣ ≥ x − 1 \left|2x-3\right|\ge x-1 ∣ 2 x − 3 ∣ ≥ x − 1 ...

{ x ≤ 4 3 a t a u x ≥ 2 } \left\{x\le\frac{4}{3}\ atau\ x\ge2\right\} { x ≤ 3 4 a t a u x ≥ 2 }

{ x ≤ 4 3 } \left\{x\le\frac{4}{3}\right\} { x ≤ 3 4 }

{ x ≥ 2 } \left\{x\ge2\right\} { x ≥ 2 }

{ 4 3 ≤ x ≤ 2 } \left\{\frac{4}{3}\le x\le2\right\} { 3 4 ≤ x ≤ 2 }

Tentukan batas nilai x yang memenuhi dari pertidaksamaan ∣ 3 x + 6 ∣ > ∣ x ∣ \left|3x+6\right|>\left|x\right| ∣ 3 x + 6 ∣ > ∣ x ∣ ...

{ x < − 3 a t a u x > − 6 4 } \left\{x<-3\ atau\ x>-\frac{6}{4}\right\} { x < − 3 a t a u x > − 4 6 }

{ − 3 < x < − 6 4 } \left\{-3<x<-\frac{6}{4}\right\} { − 3 < x < − 4 6 }

{ 6 4 < x < 3 } \left\{\frac{6}{4}<x<3\right\} { 4 6 < x < 3 }

{ x ≤ 6 4 a t a u x ≥ 3 } \left\{x\le\frac{6}{4}atau\ x\ge3\right\} { x ≤ 4 6 a t a u x ≥ 3 }

Himpunan penyelesaian dari pertidaksamaan ∣ x − 6 ∣ ≥ 2 x − 3 \left|x-6\right|\ge2x-3 ∣ x − 6 ∣ ≥ 2 x − 3 adalah...

{ x < 3 } \left\{x<3\right\} { x < 3 }

{ x > 6 } \left\{x>6\right\} { x > 6 }

{ x > 3 } \left\{x>3\right\} { x > 3 }

{ x < 3 a t a u x > 6 } \left\{x<3\ atau\ x>6\right\} { x < 3 a t a u x > 6 }

Himpunan penyelesaian dari ∣ 2 x + 6 ∣ ≤ ∣ 4 − x ∣ \left|2x+6\right|\le\left|4-x\right| ∣ 2 x + 6 ∣ ≤ ∣ 4 − x ∣ adalah...

{ − 10 < x < − 2 3 } \left\{-10<x<-\frac{2}{3}\right\} { − 1 0 < x < − 3 2 }

{ x < − 10 a t a u x > 2 3 } \left\{x<-10\ atau\ x>\frac{2}{3}\right\} { x < − 1 0 a t a u x > 3 2 }

{ x < − 10 } \left\{x<-10\right\} { x < − 1 0 }

{ x > 2 3 } \left\{x>\frac{2}{3}\right\} { x > 3 2 }

Himpunan penyelesaian dari ∣ 5 x − 8 ∣ − ∣ 13 − 2 x ∣ = 0 \left|5x-8\right|-\left|13-2x\right|=0 ∣ 5 x − 8 ∣ − ∣ 1 3 − 2 x ∣ = 0 adalah...

( − 5 3 , 3 ) \left(-\frac{5}{3},3\right) ( − 3 5 , 3 )

( − 3 , 5 3 ) \left(-3,\frac{5}{3}\right) ( − 3 , 3 5 )

( − 5 , 3 ) \left(-5,3\right) ( − 5 , 3 )

( − 3 , 5 ) \left(-3,5\right) ( − 3 , 5 )

Himpunan penyelesaian untuk persamaan ∣ 6 − 4 ∣ x ∣ ∣ = 2 \left|6-4\left|x\right|\right|=2 ∣ 6 − 4 ∣ x ∣ ∣ = 2 adalah

( − 2 , − 1 , 1 , 2 ) \left(-2,-1,1,2\right) ( − 2 , − 1 , 1 , 2 )

( 1 , 2 ) \left(1,2\right) ( 1 , 2 )

( 2 , 4 ) \left(2,4\right) ( 2 , 4 )

( − 1 , 0 , 1 , 2 ) \left(-1,0,1,2\right) ( − 1 , 0 , 1 , 2 )

jika 15 ≤ ∣ 10 − 1 3 k ∣ < 20 15\le\left|10-\frac{1}{3}k\right|<20 1 5 ≤ ∣ ∣ ∣ ∣ 1 0 − 3 1 k ∣ ∣ ∣ ∣ < 2 0 , nilai k yang memenuhi adalah

− 30 < k ≤ − 15 a t a u 75 ≤ k < 90 -30<k\le-15\ atau\ 75\le k<90 − 3 0 < k ≤ − 1 5 a t a u 7 5 ≤ k < 9 0

− 30 < k < − 15 a t a u − 75 < k < 90 -30<k<-15\ atau\ -75<k<90 − 3 0 < k < − 1 5 a t a u − 7 5 < k < 9 0

− 30 < k < − 15 -30<k<-15 − 3 0 < k < − 1 5

75 ≤ k < 90 75\le k<90 7 5 ≤ k < 9 0

jika ∣ 2 x − 5 ∣ > x + 11 \left|2x-5\right|>x+11 ∣ 2 x − 5 ∣ > x + 1 1 nilai x yang memenuhi adalah..

x < − 4 3 a t a u x > 6 x<-\frac{4}{3}atau\ x>6 x < − 3 4 a t a u x > 6

x < 4 3 a t a u x > 6 x<\frac{4}{3}atau\ x>6 x < 3 4 a t a u x > 6

− 4 3 < x < 6 -\frac{4}{3}<x<6 − 3 4 < x < 6

− 6 < x < 4 3 -6<x<\frac{4}{3} − 6 < x < 3 4

Persamaan dan Pertidaksamaan nilai mutlak

Authored by Diyas Ruziana

Mathematics

10th Grade

Used 552+ times

Persamaan dan Pertidaksamaan nilai mutlak

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MULTIPLE CHOICE QUESTION

2 mins • 1 pt

jika $x=-6$ maka nilai dari $\left|2x-4\right|$ adalah...

-16

-8

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Hasil dari $\left|8\right|+\left|-4\right|-\left|-3\right|=...$

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Nilai $\left|10+x-x^2\right|$ untuk $x=20$ adalah...

390

370

350

330

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Tentukan himpunan penyelesaian dari $\left|x-3\right|=5$

{2,-8}

{2,8}

{-2,8}

{ }

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Himpunan penyelesaian dari $\left|1-x\right|-1=4$ adalah...

$\left\{\ \right\}$

$\left\{2,3\right\}$

$\left\{4,6\right\}$

$\left\{-4,6\right\}$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Tentukan nilai x yang memenuhi dari persamaan $\left|2x+16\right|=x+4$ ...

$\left\{\ \ \right\}$

$\left\{-\frac{20}{3},-12\right\}$

$\left\{-\frac{20}{3}\right\}$

$\left\{-12\right\}$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

diketahui $x_1$ dan $x_2$ dengan $x_1>x_2$ memenuhi $\left|x-2\right|=\left|2x-7\right|$ . Nilai $x_1-x_2$ adalah...

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Penyelesaian persamaan $\left|x+5\right|^2-3\left|x+5\right|-4=0$ adalah...

$x=-9\ atau\ x=-4$

$x=-9\ atau\ x=1$

$x=-9\ atau\ x=-1$

$x=4\ atau\ x=9$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Tentukan himpunan penyelesaian dari pertidaksamaan $\left|-3x+2\right|>8$ ...

$\left\{x<-\frac{10}{3}\ atau\ x>2\right\}$

$\left\{-2<x<\frac{10}{3}\right\}$

$\left\{x<-2\ atau\ x>\frac{10}{3}\right\}$

$\left\{-\frac{10}{3}<x<2\right\}$

10.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

himpunan penyelesaian pertidaksamaan $\left|2x\right|>4$ adalah...

$\left\{-4<x<4\right\}$

$\left\{-2<x<2\right\}$

$\left\{x<-4\ atau\ x>4\right\}$

$\left\{x<-2\ atau\ x>2\right\}$

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Persamaan dan Pertidaksamaan nilai mutlak

jika x=−6x=-6x=−6 maka nilai dari ∣2x−4∣\left|2x-4\right|∣2x−4∣ adalah...

Hasil dari ∣8∣+∣−4∣−∣−3∣=...\left|8\right|+\left|-4\right|-\left|-3\right|=...∣8∣+∣−4∣−∣−3∣=...

Nilai ∣10+x−x2∣\left|10+x-x^2\right|∣∣​10+x−x2∣∣​ untuk x=20x=20x=20 adalah...

Tentukan himpunan penyelesaian dari ∣x−3∣=5\left|x-3\right|=5∣x−3∣=5

Himpunan penyelesaian dari ∣1−x∣−1=4\left|1-x\right|-1=4∣1−x∣−1=4 adalah...

Tentukan nilai x yang memenuhi dari persamaan ∣2x+16∣=x+4\left|2x+16\right|=x+4∣2x+16∣=x+4 ...

diketahui x1x_1x1​ dan x2x_2x2​ dengan x1>x2x_1>x_2x1​>x2​ memenuhi ∣x−2∣=∣2x−7∣\left|x-2\right|=\left|2x-7\right|∣x−2∣=∣2x−7∣ . Nilai x1−x2x_1-x_2x1​−x2​ adalah...

Penyelesaian persamaan ∣x+5∣2−3∣x+5∣−4=0\left|x+5\right|^2-3\left|x+5\right|-4=0∣x+5∣2−3∣x+5∣−4=0 adalah...

Tentukan himpunan penyelesaian dari pertidaksamaan ∣−3x+2∣>8\left|-3x+2\right|>8∣−3x+2∣>8 ...

himpunan penyelesaian pertidaksamaan ∣2x∣>4\left|2x\right|>4∣2x∣>4 adalah...

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Discover more resources for Mathematics

jika $x=-6$ maka nilai dari $\left|2x-4\right|$ adalah...

Hasil dari $\left|8\right|+\left|-4\right|-\left|-3\right|=...$

Nilai $\left|10+x-x^2\right|$ untuk $x=20$ adalah...

Tentukan himpunan penyelesaian dari $\left|x-3\right|=5$

Himpunan penyelesaian dari $\left|1-x\right|-1=4$ adalah...

Tentukan nilai x yang memenuhi dari persamaan $\left|2x+16\right|=x+4$ ...

diketahui $x_1$ dan $x_2$ dengan $x_1>x_2$ memenuhi $\left|x-2\right|=\left|2x-7\right|$ . Nilai $x_1-x_2$ adalah...

Penyelesaian persamaan $\left|x+5\right|^2-3\left|x+5\right|-4=0$ adalah...

Tentukan himpunan penyelesaian dari pertidaksamaan $\left|-3x+2\right|>8$ ...

himpunan penyelesaian pertidaksamaan $\left|2x\right|>4$ adalah...