Question

POR FAVOR ME AJUDEM!!! Resolva as seguintes inequaçoes em R:
A) 2 x + 1 ≤ x + 6
B) 2 - 3 x ≥ x + 14
C) 2 ( x + 3 ) > 3 ( 1 - x )
D) 3 ( 1 - 2 x ) < 2 ( x + 1 ) + x - 7
E) $\frac{x}{3} - \frac{(x+1)}{2} < \frac{(1-x)}{4}$
F) ( x + 3 ) > ( - x - 1 )
G) [ 1 - 2 ( x - 1 ) ] < 2
H) 6 x + 3 < 3 x + 18 
I) 8 ( x + 3 ) > 12 ( 1 - x )
J) ( x + 10 ) > ( - x + 6 )
K) 2 x + 5 < - 3 x + 40
L) 6 ( x - 5 ) - 2 ( 4 x + 2 ) > 100
M) 7 x - 9 < 2 x + 16
N)- ( 8 - 4 x - 7 ) ≤ 2 x + 7

Answer 1

A) 2 x + 1 ≤ x + 6
2x - x ≤ 6-1
x ≤ 5;

B) 2 - 3 x ≥ x + 14
-3x - x ≥ 14 -2
-4x ≥12
-x ≥12/4 .(-1)
x < -3;

C) 2 ( x + 3 ) > 3 ( 1 - x )
2x+6>3 - 3x
2x+3x > 3 - 6
5x > -3
x > -3/5;

D) 3 ( 1 - 2 x ) < 2 ( x + 1 ) + x - 7
3 - 6x < 2x + 2 +x - 7
-6x -3x < -8
-9x < -8
-x < -8/9 .(-1)
x > 8/9;
E) 
x/3 - (X+1)/2 - (1-x)/4 < 0
4.(x) - 6.(x+1) - 3(1-x)/12 <0
4x - 6x -6 -3+3x <0
x < 9;

F) ( x + 3 ) > ( - x - 1 )
x+3 - (-x-1)>0
2x +4>0
2x>4
x>2;

G)[ 1 - 2 ( x - 1 ) ] < 2
1-2x+2 <2
-2x<-1 .(-1)
x>1/2;
H) 6 x + 3 < 3 x + 18
6x-3x<15
3x<15
x<5;
I) 8 ( x + 3 ) > 12 ( 1 - x )
8x+24>12 - 12x
20x>-12
x>12/20
x>3/5;
J) ( x + 10 ) > ( - x + 6 )
x+10 > -x+6
2x>-4
x>-4/2
x>-2
K) 2 x + 5 < - 3 x + 40
5x<+35
x<7
L) 6 ( x - 5 ) - 2 ( 4 x + 2 ) > 100
6x-30-8x-4>100
-2x>66
x<-33

M) 7 x - 9 < 2 x + 16
7x-2x<16+9
5x<25
x<5;
N)- ( 8 - 4 x - 7 ) ≤ 2 x + 7
-8+4x+7 -2x≤7
2x ≤8
x ≤4;
Pronto!!