Jason (5 Radium)
05. RANGKAIAN DALAM TEORI GRAF 2025 by @cikgufarhanmath.pdf
masterize f4 chapter 5 today and do this exercise.
Jason (5 Radium)
https://www.youtube.com/watch?v=OiG9sAUKrP0&list=PL0YA-8yeScpjHSUgxn0_SS-o7-7uWWCX8&index=26
one of the easiest chapter in maths.
π―6
Forwarded from Thespmneticβ’ π΅π»π΅π»ββ
Countdown SPM:
72 days left (10 minggu 2 hari)
Ape guna mimpi besar kalau effort tak sepadan? Mula sekarang bukan nanti! - by Zarith Sofea
72 days left (10 minggu 2 hari)
Ape guna mimpi besar kalau effort tak sepadan? Mula sekarang bukan nanti! - by Zarith Sofea
β€5π1
Forwarded from Score A+ Tips by PTTI (Biha Hasni)
HARI INI DALAM OTC TRIAL PTTI
Terbuka untuk semua tingkatan 4, 3, 2 dan 1.
Topik yang wajib faham dalam matematik untuk awak lulus dan pandai matematik.
Rasai pengalaman belajar OTC dengan PTTI secara percuma dalam OTC Trial ini.
Daftar sekarang di https://tinyurl.com/otctrialPTTI
Terbuka untuk semua tingkatan 4, 3, 2 dan 1.
Topik yang wajib faham dalam matematik untuk awak lulus dan pandai matematik.
Rasai pengalaman belajar OTC dengan PTTI secara percuma dalam OTC Trial ini.
Daftar sekarang di https://tinyurl.com/otctrialPTTI
π1
Forwarded from Thespmneticβ’ π΅π»π΅π»ββ
Countdown SPM:
71 days left (10 minggu 1 hari)
SPM gila sama seperti kehidupan tanpa dia ~ by Natasa
71 days left (10 minggu 1 hari)
SPM gila sama seperti kehidupan tanpa dia ~ by Natasa
π₯12
π FORM 4 MATHEMATICS
CHAPTER 6: LINEAR INEQUALITIES IN TWO VARIABLES
1. What is a linear inequality?
A linear inequality compares two expressions using:
β’ < β less than
β’ > β greater than
β’ β€ β less than or equal to
β’ β₯ β greater than or equal to
CHAPTER 6: LINEAR INEQUALITIES IN TWO VARIABLES
1. What is a linear inequality?
A linear inequality compares two expressions using:
β’ < β less than
β’ > β greater than
β’ β€ β less than or equal to
β’ β₯ β greater than or equal to
Types of Boundary Lines π
1. Dashed line (β β β) Used for: οΏΌ
βΌοΈ οΏΌ The points on the line are not included.
2. Solid line (ββββ) Used for: οΏΌ
βΌοΈ οΏΌ The points on the line are included.
1. Dashed line (β β β) Used for: οΏΌ
βΌοΈ οΏΌ The points on the line are not included.
2. Solid line (ββββ) Used for: οΏΌ
βΌοΈ οΏΌ The points on the line are included.
π‘ Dashed lines mean the points on the line are not included.
Solid lines mean the points on the line are included.
Solid lines mean the points on the line are included.
3. How to draw the graph
Example:
y > x + 2
Step 1: Draw the boundary line:
y = x + 2
Use a dashed line because the sign is >.
Step 2: Choose a test point, usually (0,0).
Substitute:
0 > 0 + 2
0 > 2 False β
Step 3: Since (0,0) is false, shade the region opposite the origin.
Example:
y > x + 2
Step 1: Draw the boundary line:
y = x + 2
Use a dashed line because the sign is >.
Step 2: Choose a test point, usually (0,0).
Substitute:
0 > 0 + 2
0 > 2 False β
Step 3: Since (0,0) is false, shade the region opposite the origin.
π Important special cases
y > a
Shade above the horizontal line y=a.
y < a
Shade below the horizontal line y=a.
x > a
Shade to the right of the vertical line x=a.
x < a
Shade to the left of the vertical line x=a.
y > a
Shade above the horizontal line y=a.
y < a
Shade below the horizontal line y=a.
x > a
Shade to the right of the vertical line x=a.
x < a
Shade to the left of the vertical line x=a.
Changing the inequality sign
When multiplying or dividing both sides by a negative number, reverse the inequality sign.
Example:
-2x > 6
Divide by -2:
x < -3
π‘ The sign changes from > to <.
When multiplying or dividing both sides by a negative number, reverse the inequality sign.
Example:
-2x > 6
Divide by -2:
x < -3
π‘ The sign changes from > to <.
Common mistakes to avoid β οΈ
β Using a solid line for < or >
β Using a dashed line for => or <=
β Shading the wrong side of the boundary line
β Forgetting to reverse the sign when dividing by a negative number
β Forgetting that the final answer is the overlapping region
β Using a solid line for < or >
β Using a dashed line for => or <=
β Shading the wrong side of the boundary line
β Forgetting to reverse the sign when dividing by a negative number
β Forgetting that the final answer is the overlapping region
β Quick memory tips
β’ < or > β dashed line
β’ β€ or β₯ β solid line
β’ Test point true β shade that side
β’ Test point false β shade the opposite side
β’ Negative Γ or Γ· β reverse the sign
β’ Common shaded area β solution region
β’ < or > β dashed line
β’ β€ or β₯ β solid line
β’ Test point true β shade that side
β’ Test point false β shade the opposite side
β’ Negative Γ or Γ· β reverse the sign
β’ Common shaded area β solution region
Forwarded from Jaden
1. SPM TRIAL 2026 MATEMATIK KERTAS 2 IKUT BAB TINGKATAN 4 & 5 SOALAN + JAWAPAN https://drive.google.com/file/d/1tA3VRkY5sBK3QYvdJnhSS3rvuj8YjozW/view?usp=drive_link
2. SPM TRIAL 2026 MATEMATIK KERTAS 1 IKUT BAB TINGKATAN 1-5 SOALAN + JAWAPAN
https://drive.google.com/file/d/1r68VlqpXwfd15jAPuy8RnLkL24zt5AJX/view?usp=sharing
3. SPM SOALAN SEBENAR 2021-2025 KERTAS 2 MATEMATIK IKUT BAB TINGKATAN 4 & 5 (BONUS ADA TINGKATAN 1-3) SOALAN + JAWAPAN https://drive.google.com/file/d/16g34uU_gj9DC3eUBBKKn8YcuSK1Zu0mY/view?usp=drive_link
4. SPM TRIAL 2026 MATEMATIK TAMBAHAN IKUT BAB TINGKATAN 4 & 5 SOALAN + JAWAPAN https://drive.google.com/file/d/17O5XVfRZrWE4e20bCixxVfNOVfMr_OZ9/view?usp=drive_link
5. SPM SOALAN SEBENAR 2021-2025 MATEMATIK TAMBAHAN IKUT BAB TINGKATAN 4 & 5 SOALAN + JAWAPAN https://drive.google.com/file/d/17O5XVfRZrWE4e20bCixxVfNOVfMr_OZ9/view?usp=drive_link
2. SPM TRIAL 2026 MATEMATIK KERTAS 1 IKUT BAB TINGKATAN 1-5 SOALAN + JAWAPAN
https://drive.google.com/file/d/1r68VlqpXwfd15jAPuy8RnLkL24zt5AJX/view?usp=sharing
3. SPM SOALAN SEBENAR 2021-2025 KERTAS 2 MATEMATIK IKUT BAB TINGKATAN 4 & 5 (BONUS ADA TINGKATAN 1-3) SOALAN + JAWAPAN https://drive.google.com/file/d/16g34uU_gj9DC3eUBBKKn8YcuSK1Zu0mY/view?usp=drive_link
4. SPM TRIAL 2026 MATEMATIK TAMBAHAN IKUT BAB TINGKATAN 4 & 5 SOALAN + JAWAPAN https://drive.google.com/file/d/17O5XVfRZrWE4e20bCixxVfNOVfMr_OZ9/view?usp=drive_link
5. SPM SOALAN SEBENAR 2021-2025 MATEMATIK TAMBAHAN IKUT BAB TINGKATAN 4 & 5 SOALAN + JAWAPAN https://drive.google.com/file/d/17O5XVfRZrWE4e20bCixxVfNOVfMr_OZ9/view?usp=drive_link
β€5π€©5
Forwarded from Thespmneticβ’ π΅π»π΅π»ββ
Countdown SPM:
70 days left (10 minggu)
Nanti bila semua dah tamat, kau akan rindukan masa kau masih ada peluang untuk ubah segalanya.
70 days left (10 minggu)
Nanti bila semua dah tamat, kau akan rindukan masa kau masih ada peluang untuk ubah segalanya.
β€18