Question

1. resolva as inequaçoes
a) 4 (x+3)> 2 (x-1)
b) 3 (x+2)>2 (2x+4)
c) 5x- (x-2) (menor ou igual) 6
d) 7 (x-2) < 2 (3x+4)
e) x-2 (x-3) (menor ou igual) x+5

Answer 1

A)
4(x+3)> 2(x-1)
4x+12> 2x-2
4x-2x> -2-12
2x> -14
x> -14/2
x> -7

B)
3(x+2)> 2(2x+4)
3x+6> 4x+8
3x-4x> 8-6
-x> 2
x< -2

C)
5x-(x-2)≤6
5x-x+2≤6
4x+2≤6
4x≤6-2
4x≤4
x≤4/4
x≤ 1

D)
7(x-2)< 2(3x+4)
7x-14< 6x+8
7x-6x< 8+14
x< 22

E)
x-2(x-3)≤ x+5
x-2x+6≤ x+5
-x+6≤ x+5
-x-x≤ 5-6
-2x≤ -1
2x≥ 1
x≥ 1/2