Pertidaksamaan Irrasional

Presentation

•

Mathematics

•

10th Grade

•

Medium

abdul haris

Used 13+ times

FREE Resource

5 Slides • 6 Questions

Pertidaksamaan Irrasional

pertidaksamaan bentuk akar

Bentuk umum pertidaksamaan irrasional

$\sqrt{f\left(x\right)}\le\ c$
$\sqrt{f\left(x\right)}\le\sqrt{g\left(x\right)}$
$\sqrt{f\left(x\right)}\le g\left(x\right)$
dengan syarat $f\left(x\right)\ge0\ \ \ dan\ \ \ g\left(x\right)\ge0$

langkah penyelesaian pertidaksamaan irasional :

tentukan interval nilai x yang memenuhi syarat
kuadratkan kedua ruas untuk menghilangkan akar
buat ruas kanan jadi nol
ubah ruas kiri menjadi bentuk-bentuk faktor linear
tentukan pembuat nilai nol dan garis bilangan
tentukan tanda daerah dan daerah penyelesaian
cari irisan antara daerah syarat dan daerah penyelesaian

contoh soal :

tentukan penyelesaian dari

$\sqrt{2x-4}<2$
$\sqrt{3-x}<\sqrt{2x+1}$
$\sqrt{x^2+2x-8}>\sqrt{4x^2-4x}$

Multiple Choice

Himpunan penyelesaian dari

\sqrt{2x\ -\ 7}<\ 3

adalah ...

$\left\{x\le8\right\}$

$\left\{\frac{7}{2}\le x<8\right\}$

$\left\{x\le5\right\}$

$\left\{x\ge\frac{7}{2}\right\}$

Multiple Choice

Penyelesaian dari pertidaksamaan $\sqrt{(x^2-3x)}<2$ adalah . . . .

$\left\{-1<x≤0\right\}$

$\left\{3≤x<4\right\}$

$\left\{-1<x≤0\ \ atau\ 3≤x<4\right\}$

$\left\{-1<x<4\right\}$

Multiple Choice

himpunan penyelesaian dari $\sqrt{x+3}>\sqrt{2x-4}$ adalah ...

$2\le x<7$

$-3\le x\le2\ \ atau\ x\ge7$

$2<x<7$

$-3\le x\le2$

Multiple Choice

Himpunan penyelesaian dari $\sqrt{x^2-2x-3}\le\sqrt{2x+2}$ adalah ....

$1\le x\le5$

$x\le3$

$1\le x\le3\ \ atau\ x\ge5$

$3\le x\le5$

tentukan penyelesaian dari:

$\sqrt{4x-3}<x$
$\sqrt{x^2-7x+6}\ge2x$

Multiple Choice

Himpunan penyelesaian dari $\sqrt{-1-x}\ge x+3$ adalah ....

$\left\{x\ :\ x\le1\right\}$

$\left\{x\ :\ -5\le x\le2\right\}$

$\left\{x\ :\ x\ \le-1\right\}$

$\left\{x\ :\ x\le-2\right\}$

Multiple Choice

Solusi pertidaksamaan

\sqrt{x-1\ }<\ x-7

adalah ....

$5 \leq x \leq 10$

$x \leq 5 a t a u x \geq 10$ $x>10$

$x\le5$

x>10

Pertidaksamaan Irrasional

pertidaksamaan bentuk akar

Show answer

Auto Play

Slide 1 / 11

SLIDE

Similar Resources on Wayground

8 questions

Binomials Theorem

Presentation

•

10th Grade

9 questions

Area of Parallelograms and Triangles

Presentation

•

9th - 10th Grade

8 questions

7.1 - Graphing Exponential Functions

Presentation

•

9th Grade

8 questions

Midpoint and Distance Formulas

Presentation

•

9th - 11th Grade

9 questions

Solving Systems: Substitution and Simple Elimination

Presentation

•

9th Grade

10 questions

Linear Equations Review

Presentation

•

9th - 11th Grade

6 questions

NUMERAL 1 Y 2 INICIAL GRUPO 3 AÑOS

Presentation

•

10th Grade

9 questions

Pengenalan Materi Matematika X Dan XI

Presentation

•

10th Grade

Popular Resources on Wayground

10 questions

Safety Day 2026 – Student Review

Quiz

•

9th Grade

21 questions

Continents and Oceans

Quiz

•

6th Grade

20 questions

Parts of Speech

Quiz

•

5th Grade

16 questions

Subject & Predicate

Quiz

•

5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

12 questions

Map Skills

Quiz

•

3rd Grade

22 questions

Continents and Oceans

Quiz

•

5th Grade

15 questions

Rounding Decimals

Quiz

•

5th Grade

Discover more resources for Mathematics

10 questions

Exploring the Basics of Exponents

Interactive video

•

6th - 10th Grade

20 questions

Unit 5 Test RSC (25-26)

Quiz

•

10th Grade

12 questions

Identify Rigid Transformations

Quiz

•

8th - 12th Grade

10 questions

Complementary, Supplementary, Vertical, and Linear Pairs

Quiz

•

9th - 12th Grade

10 questions

Solving Two-Step Equations with Negatives

Interactive video

•

6th - 10th Grade

22 questions

Identify Vertical and Horizontal Translations

Quiz

•

9th - 12th Grade

10 questions

Exploring Equivalent Ratios and Ratio Tables

Interactive video

•

6th - 10th Grade

10 questions

Graphing Inequalities on a Number Line

Quiz

•

9th - 12th Grade