Question

ayudenme con estas inecuaciones

Answer 1

ayudame con esta y te ayudó con lo tuyo

Answer 2

(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 $\leq$ x - 2
3x + 6 $\geq$ x + 8

2x - 5 $\leq$ x - 2
2x - 5 - x $\leq$ x - 2 - x
x - 5 $\leq$  - 2
x - 5 + 5 $\leq$ - 2 + 5
x $\leq$  3

3x + 6 $\geq$ x + 8
3x + 6 - x $\geq$ x + 8 - x
2x + 6 $\geq$ 8
2x + 6 - 6 $\geq$ 8 - 6
2x $\geq$ 2
2x/2 $\geq$ 2/2
x $\geq$ 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<9
x + 1 < 9
x + 1 - 1 < 9 - 1
x < 8

El valor de x es 3, 4, 5, 6 y 7 

2x - 7$\leq$ 3
x - 1 > 5 - x

2x - 7$\leq$ 3
2x - 7 + 7$\leq$ 3 + 7
2x $\leq$ 10
2x/2 $\leq$ 10/2
x $\leq$ 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 $\leq$ 3x -1
x + 1$\geq$ (1 + 4x)/3

(x - 1)/2 $\leq$ 3x -1
(2)(x - 1)/2 $\leq$ 3x - 1(2)
2x - 2/2 $\leq$ 6x - 2
x - 1 $\leq$ 6x - 2
x - 1 + 1$\leq$ 6x - 2 + 1
x $\leq$ 6x - 1
x - 6x $\leq$ 6x - 1 - 6x
-5x $\leq$ - 1
-5x (-1) $\leq$ - 1 (-1)
5x $\geq$ 1
5x/5 $\geq$ 1/5
x $\geq$ 1/5

x + 1$\geq$ (1 + 4x)/3
(3)x + 1$\geq$ (1 + 4x)/3 (3)
3x + 3$\geq$ (3 + 12x)/3
3x + 3$\geq$ 1 + 4x
3x + 3 - 3$\geq$ 1 + 4x - 3
3x $\geq$ -2 + 4x
3x - 4x $\geq$ -2 + 4x - 4x
-x $\geq$ -2
(-1)-x $\geq$ -2(-1)
x $\leq$ 2

El valor de x es 1 y 2