Question

Inequações
a) x+1/-3 + x+2/5 > x+3/4 - 1/10
b) x/3 + x-1/2 - x ≤ x-2/5 - x-3/4
c) 5 (3-x) -3 (7-x) ≤4- (x-13)
d) 7(2x+1) +5 (-3-1) <1/2
e) 3 (x-3) >2 (2x - 7) -5 (4 - x)
f) x/2 + x/3 > - x/6
g) x-4/2 + (-3-2x)/3 ≥ 1-5x/6

Answer 1

A= 1/-3+ x + 2/5 > 3/4 - 1/10
-1/3 +x+2/5> 15-2/20
-5+6/15+ x> 13/20
1/15 +x> 13/26
x> 13/20- 1/15
x> 36-4/60
x> 35/60
x>7/12

B= x/-3 -1/2≤ 8+15/20
x/3- 1/2≤ 8+15/20
x/3 - 1/2≤ 23/20
60. x/3 -60x 1/2 ≤-60.23/20
20x 30≤-3x23
20x - 30≤-69
20x ≤-39
x≤- 39/20

C= 15-5x-21+3x≤4-x+13
-6-2x≤17-x
-2x +x≤17+6
-x≤23
x≥- 23

D=14x +7+5x(-4)<1/2
14x +7-20< 1/2
14x-13 < 1/2
14x<1/2 + 13
14< 1+26/2
14x < 27/2
x< 27/28