Ingeniera En Marketing

1. xx+3-x-2≤x-1(x+2) Rep.: x≤-4
x2+3x-x-2≤x-1(x+2)
x2+3x-x+2≤x2+x-2
3x-x-x≤-2-2
3x-2x≤-4
x≤-4
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2.5-2x≥-2+x-3x-1 Rep.: x≤2
5-2x≥-2+x-3x+1
5-2x≥-2-x+3x+1
-2x+x-3x≥-5-2-1
-4x≥8
x≤-8-4
x≤2

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3. 23x+136-2x≤14-2x-3x-18
2x+2618-2x≤14-2x+3x-188x+104-144x≤18-144x+27x-9
8x-27x≤-104+18-9
-19x≤-95
x≤5

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4. 2xx-1+x-3x-2≥x-3x+5-6+2x2

2x2-2x+x2-5x+6≥x2+2x-15-6+2x2
-2x-5x-2x≥-6-15-6
-9x≥27x≤3


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5. 5x+6<-10x-4
5x-10x<-6-4
-5x<-10
x>-10-5
x>2


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6. (x-2)2≤1+3-x2
x2-2x+4≤1+9-6x+x2
-2x+6x≤1+9-4
4x≤6
x≤64
x≤32


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7. x2+2-x12≥x6-54
6x+2x-x≥2x-15
6x-2x-x≥-24-15
3x≥-39
3x≥-393
x≥-13


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8. 3x-34+x-3x+3≤x2+x-x5+54
3x-34+x2-9≤x2+x-x5+54
60x-15+20x2-180≤20x2+20x-4x+25
44x≤220
x≤5


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Inecuaciones con dos incognitas

x | y |
0 | * 4 |
2 | 4 |
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4x-y>4
y=4x-4
VERIFICACION
0.0
4(0)-0>4
0>4 F

x | y |
0 | 4 |
2 | 6 |
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10x-2y>8
-2y=-10x+8
2y=10x-8
y=10x-82
VERIFICION
0.0
10(0)-2(0)>8
0>8 F

x | y |
0 | 3 |
3 | 18 |
15x-3y<9
-3y<-15x-9
3y<15x+9
y<15x+93
y=5x+3
verificación
150-30<90<9 V

x | y |
1 | 3 |
7 | 1 |
3x+3y>10
x>10-3y
VERFICACIÓN
30+30>10
0>10 F

5x+10y<5
10y=5-5x
y=5-5x10

VERIFICACION
50+100<5
0<5

2y-3x>6
2y=3x+6
y=3x+62

VERIFICACIÓN
20-30>6
0>6 F

10y+4x>8
10y>8-4x
y=8-4x10
y=2-2x5

VERIFICACIÓN
100+40>8
0>8 F

Desigualdades
3x-3y>9
-3y>9-3x
y=9-3x-3
y=3-xVERIFICACIÓN
30-30>9
0>9 F

3≤x≤6
x≤-2
y+2x≤10
Primer paso
1. x≥3
2. x≤6
3. y≤-2
4. y+2x≤10
Ecuación (Segundo paso )
x=3
x=6
x=-2
2x+y=10
Tercer paso
0≥3 F
0≤6 V
0≤-2 F
0≤10 F
y=10-2x
x | y |
0 | 10 |
2 | 6 |

5≤x≤-3
9≤x
y≥3
5≥x≤8
3x+y≤3
Primer paso
x≥5
x≤-3
x≥9
x≥3
x≤5
x≤8
3x+y≤3
Ecuación (Segundo paso )
x=4
x=5
x=-3
x=9...