Question

Resolva as inequações abaixo
a) 2x + 7/10 < 5x -1/2

b)3x/2 + 5/4 + x > 5x/8 +5

c) x/6 + 1/3 < x+10

Answer 1

a)
2x + 7/10 < 5x - 1/2
2x - 5x < 1/2 - 7/10
-3x < -1/5
x > 1/15

b)
3x/2 + 5/4 + x > 5x/8 + 5
12x + 10 + 8x > 5x + 40
20x + 10 > 5x + 40
20x - 5x > 40 - 10
15x > 30
x > 2

c)
x/6 + 1/3 < x + 10
x + 2 < 6x + 60
x - 6x < 60 - 2
-5x < 58
x < -58/5