5. linearne nejednaČine; sistemi linearnih jednaČina )( ) filedomaĆi zadatak za temu: 5. linearne...
TRANSCRIPT
DOMAĆI ZADATAK ZA TEMU:
5. LINEARNE NEJEDNAČINE; SISTEMI LINEARNIH JEDNAČINA
1. Odrediti skup rešenja nejednačine:
a. 1 2 3 222 3 6 5
x x x x− + +− + < −
b. ( )( )2 3 0y y− + >
c. ( )( )5 4 0x x− − ≤
d. 2 6x − ≤
e. 2 3x x− <
f. 2x x+ >
g. 3 11
xx+
>+
h. 2 2 1 1
2 3x x
x+ +
>+
i. 2
2 14 8 4
xxx x
−>
− +
j. 2 22 1 8 16 7x x x x+ + + − + ≤
k. 3 1x − ≤
2. Ako su x i y rešenja sistema, odrediti x+y:
a.
2 72
2 14 4
x y x y
y x yx
+ + + = − + − =
b.
1 3 51 4
4 7 11 4
x y
x y
+ = + − = +
c.
1 1 0,12 1
1 1 0,32 1
x y x y
x y x y
+ = − + − − + = − + − −
3. Odrediti parametar a tako da sistem jednačina ( )
( )1 1
1 1
ax a y
a x ay
+ − =
+ − = nema rešenja.
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