Hvordan går man frem i disse oppgavene: Skisser løsningsmengdene i det komplekse planet.
1. Re(z) + Im(z)≤3
2. Re(z) - Im(z)≥-2
Komplekse planet
Moderatorer: Vektormannen, espen180, Aleks855, Solar Plexsus, Gustav, Nebuchadnezzar, Janhaa
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GrahamBode
- Fibonacci
- Innlegg: 1
- Registrert: 21/03-2025 09:32
The basic sketch is as follows:
This is a half-plane in the coordinate plane (x,y)(x, y)(x,y)
The boundary line is x+y=3x + y = 3x+y=3, inclined at 45°, passing through the points (3,0)(3, 0)(3,0) and (0,3)(0, 3)(0,3)
The solution region is below this line, excluding the line (because it is “<”, not “≤”).
This is a half-plane in the coordinate plane (x,y)(x, y)(x,y)
The boundary line is x+y=3x + y = 3x+y=3, inclined at 45°, passing through the points (3,0)(3, 0)(3,0) and (0,3)(0, 3)(0,3)
The solution region is below this line, excluding the line (because it is “<”, not “≤”).