Paano mo malutas ang x / (x-2)> = 0?

Sagot:

Ang solusyon ay #x sa (-oo, 0) uu (2, oo) #

Paliwanag:

Hayaan #f (x) = x / (x-2) #

Magtayo ng isang sign na tsart

#color (white) (aaaa) ## x ##color (white) (aaaa) ## -oo ##color (white) (aaaaaaa) ##0##color (white) (aaaaaaaa) ##2##color (white) (aaaaaa) ## + oo #

#color (white) (aaaa) ## x ##color (white) (aaaaaaaa) ##-##color (white) (aaaa) ##0##color (white) (aaaa) ##+##color (white) (aaaaa) ##+#

#color (white) (aaaa) ## x-2 ##color (white) (aaaaa) ##-##color (white) (aaaa) ####kulay (puti) (aaaaa)##-##color (white) (aa) ##||##color (white) (aa) ##+#

#color (white) (aaaa) ##f (x) ##color (white) (aaaaaa) ##+##color (white) (aaaa) ##0##color (white) (aaaa) ##-##color (white) (aa) ##||##color (white) (aa) ##+#

Samakatuwid, #f (x)> = 0 # kailan ##

graph {x / (x-2) -10, 10, -5, 5}

Sagot:

# (-oo, 0 # U # (2, oo) #

Paliwanag:

# x / (x - 2) 0 #

# x / (x - 2) 0 ": ay totoo kung ang" {("alinman", x 0 at x - 2> 0), ("o", x 0 at x - 2 <0):} #

#x 0 at x - 2> 0 #

# x> 2 #

#x 0 at x - 2 <0 #

#x 0 #

Sagot: #x 0 # O # x> 2 #

Sa pagitan ng notasyon: # (-oo, 0 # U # (2, oo) #