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(x - 7) / 2 - 4 / 3 > x / 9 + 1

(x - 7) / 2 - 4 / 3 + 4 / 3 > x / 9 + 1 + 4 / 3

(x - 7) / 2 > x / 9 + 7 / 3

(x - 7) / 2 - x / 9 > x / 9 + 7 / 3 - x / 9

(7x - 63) / 18 > 7 / 3

18((7x - 63) / 18) > 7 / 3(18)

7x - 63 > 42

7x - 63 + 63 > 42 + 63

7x > 105

x / 2 + x + 1 < 3x / 5 - 4 / 5

x / 2 + x + 1 - 1 < 3x / 5 - 4 / 5 - 1

x / 2 + x < 3x - 4 / 5 - 1

10(x / 2) + 10(x) < 10(3x - 4 / 5) - 1(10)

5x + 10x < 6x - 8 - 10

15x < 6x - 18

15x - 6x < 6x - 18 - 6x

9x < - 18

9x / 9 < - 18 / 9x < - 2

x / 3 + 2 > 2x / 5 + 17 / 15

x / 3 + 2 - 2 > 2x / 5 + 17 / 15 - 2

x / 3> 2x / 5 - 13 / 15

x / 3 - 2x / 5 > 2x / 5 - 13 / 15 - 2x / 5 - x / 15 > - 13 / 15

(15) - x / 15 > - 13 / 15(15) - 15x / 15 > - 13

( - 1) - x > - 13( - 1)

x < 13

9x / 7 - x / 42 > 11 + x

9x / 7 - x / 42 - x > 11 + x - x

11x / 42 > 11

(42)11x / 42 > 11(42)

11x > 462

11x / 11 > 462 / 11

x > 42

x + 2 > 3

x - 11 < - 2(1 + x)

x + 2 > 3

x + 2 - 2 > 3 - 2

x > 1

x - 11 < - 2(1 + x)x - 11 < - 2 - 2x

x - 11 + 2x < - 2 - 2x + 2x

3x - 11 < - 2

3x - 11 + 11 < - 2 + 11

3x < 93

x / 3 < 9 / 3

x < 3

El valor de x es 2

2x - 5<img src="https://tex.z-dn.net/?f=%20%5Cleq%20" /> x - 2

3x + 6<img src="https://tex.z-dn.net/?f=%20%5Cgeq%20" /> x + 8

2x - 5 <img src="https://tex.z-dn.net/?f=%20%5Cleq%20" /> x - 2

2x - 5 - x <img src="https://tex.z-dn.net/?f=%20%5Cleq%20" /> x - 2 - x

x - 5 <img src="https://tex.z-dn.net/?f=%20%5Cleq%20" /> - 2

x - 5 + 5 <img src="https://tex.z-dn.net/?f=%20%5Cleq%20" /> - 2 + 5

x <img src="https://tex.z-dn.net/?f=%20%5Cleq%20" /> 3

3x + 6 <img src="https://tex.z-dn.net/?f=%20%5Cgeq%20" /> x + 8

3x + 6 - x <img src="https://tex.z-dn.net/?f=%20%5Cgeq%20" /> x + 8 - x

2x + 6 <img src="https://tex.z-dn.net/?f=%20%5Cgeq%20" /> 8

2x + 6 - 6 [img = 10] 8 - 6

2x [img = 11] 2

2x / 2 [img = 12] 2 / 2

x [img = 13] 1

El valor de x es 1, 2 y 3

x / 2 + 3 > x / 3 + 4

(x + 1) / 3 < 3

x / 2 + 3 > x / 3 + 4

x / 2 + 3 - 3 > x / 3 + 4 - 3

x / 2 > x / 3 + 1

(6)x / 2 > (6)x / 3 + 1(6)

3x > 2x + 6

3x - 2x> 2x + 6 - 2x

3x > 6

3x / 3 > 6 / 3

x > 2

(x + 1) / 3 < 3

3(x + 1) / 3 < 3(3)

(3x + 3) / 3 5 - x

2x - 7[img = 15] 3

2x - 7 + 7[img = 16] 3 + 7

2x [img = 17] 10

2x / 2 [img = 18] 10 / 2

x [img = 19] 5

x - 1 > 5 - x

x - 1 + x > 5 - x + x

2x - 1 > 5

2x - 1 + 1> 5 + 1

2x > 6

2x / 2 > 6 / 2

x > 3

El valor de x es 4 y 5

(x - 1) / 2[img = 20] 3x - 1

x + 1[img = 21] (1 + 4x) / 3

(x - 1) / 2[img = 22] 3x - 1

(2)(x - 1) / 2[img = 23] 3x - 1(2)

2x - 2 / 2[img = 24] 6x - 2

x - 1[img = 25] 6x - 2

x - 1 + 1[img = 26] 6x - 2 + 1

x [img = 27] 6x - 1

x - 6x [img = 28] 6x - 1 - 6x - 5x [img = 29] - 1 - 5x ( - 1) [img = 30] - 1 ( - 1)

5x [img = 31] 1

5x / 5 [img = 32] 1 / 5

x [img = 33] 1 / 5

x + 1[img = 34] (1 + 4x) / 3

(3)x + 1[img = 35] (1 + 4x) / 3 (3)

3x + 3[img = 36] (3 + 12x) / 3

3x + 3[img = 37] 1 + 4x

3x + 3 - 3[img = 38] 1 + 4x - 3

3x [img = 39] - 2 + 4x

3x - 4x [img = 40] - 2 + 4x - 4x - x [img = 41] - 2

( - 1) - x [img = 42] - 2( - 1)

x[img = 43]2

El valor de x es 1 y 2.