1 / 14

LATIHAN SOAL & PENYELESAIANNYA (Persamaan dan Pertidaksamaan di Ruang Satu dengan Satu Variabel)

LATIHAN SOAL & PENYELESAIANNYA (Persamaan dan Pertidaksamaan di Ruang Satu dengan Satu Variabel). Disusun oleh : KARLINA SARI (4101412031) ALIFA MUHANDIS S A (4101412084) RIA WINARTI NINGRUM (4101412180) TASBIATUN (4101412 ). -5. 5. 0.

dgandy
Télécharger la présentation

LATIHAN SOAL & PENYELESAIANNYA (Persamaan dan Pertidaksamaan di Ruang Satu dengan Satu Variabel)

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. LATIHAN SOAL & PENYELESAIANNYA(Persamaan dan Pertidaksamaan di Ruang Satu dengan Satu Variabel) Disusun oleh : KARLINA SARI (4101412031) ALIFA MUHANDIS S A (4101412084) RIA WINARTI NINGRUM (4101412180) TASBIATUN (4101412 )

  2. -5 5 0 1. Graph each set of number and write each set as the intersection or union of two sets. {x|x < -4 or x ≥ 4} Penyelesaian : Gambar grafik

  3. -5 5 0 2. (a) Graph each set of points. (b) express set of numbers using set-builder notation and interval notation. Point having coordinates between -2 and 2, together with poins with coordinates greater than 5. Penyelesaian : • Gambar grafik (b) Set builder notation {x|-2 ˂ x ˂ 2 and x ˃ 5} = {x |-2 ˂ x < 2} U {x|x > 5} interval notation (-2,2) U (5,+~)

  4. -5 5 0 3. (a) Graph each set of points. (b) express set of numbers using set-builder notation and interval notation. Point having coordinates less than -4, together with poins coordinates beetwen 0 and 4. Penyelesaian : • Gambar grafik (b) Set builder notation {x|x ˂ -4 and 0 < x <4} = {x |x < -4} U {x|0 < x < 4} interval notation (-~,-4) U (0,4)

  5. 5 -5 0 4. Write an equivalent pair of inequalities without using absolute value notation, solve, and graph the solution set. | x－1 | ≤ 2 Is equivalent to -2 ≤ x－1 ≤ 2 Penyelesaian : Gambar Grafik: -2 ≤ x－1 ≤ 2 -1 ≤ x ≤ 3

  6. 5 -5 0 5. Write an equivalent pair of inequalities without using absolute value notation, solve, and graph the solution set. |2x－3| ≤5 Is equivalent to -5 ≤ 2x－3 ≤ 5 Penyelesaian : Gambar Grafik : -5 ≤ 2x-3 ≤ 5 -2 ≤ 2x ≤ 8 -1 ≤ x ≤ 4

  7. 5 -5 0 6. Write an equivalent pair of inequalities without using absolute value notation, solve, and graph the solution set. |3x + 2| ≤ 6 Is equivalent to -6 ≤ 3x + 2 ≤ 6 Penyelesaian : Gambar Grafik : -6 ≤ 3x + 2 ≤ 6 -8 ≤ 3x ≤ 4

  8. 7. Express each of the following as a single inequality using absolute value notation -5 ≤ 2x － 1 ≤ 5 Is equivalent to | 2x － 1 | ≤ 5

  9. 8. Pembuktian teorema 1.6 Penyelesaian : If and are the endpoint of a segment and the point separates the segment into two parts length and then and where

  10. Menggunakan kesebangunan : = = = k = = k = dikalikan ( k ( = x ( k ( () dijumlahkan dengan k ( + = k (

  11. 9. Show that the two line segments whose endpoints are (8,-5), (5,7) and (0,-7), (8,-5) are perpendicular. Penyelesaian : Titik (8,-5) dan (5,7) mempunyai gradien -4 sedangkan titik 90,-7) dan (8,-5) mempunyai gradien ¼ maka dua ruas garis tersebut tegak lurus karena hasil kali dua gradiennya -1

  12. 10. Graph each interval (-3,4) Penyelesaian : interval dari (-3,4) adalah -3 < x < 4

  13. 11. Show that the midpoint of the hypotenusa of a right triangle equidistant the vertices of the triangle. Hint : set vertex of right angle at (0,0) and the other vertices at (a,0) and (0,b). Penyelesaian :

  14. SEKIAN DAN TERIMA KASIH

More Related