Question

Me ajude nas inequações:
a)4(x+3)>2.(x-1)
b)x-2(x+3)<x+5
c)2+5(3x+1)>0

Answer 1

a)4(x+3)>2.(x-1)
4x + 12 > 2x - 2
4x - 2x > -2 - 12
2x > -14
x > -7

b)x-2(x+3)<x+5
x - 2x - 6 < x + 5
x - 2x + x < 5 + 6
-2x < 11
x < -11/2

c)2+5(3x+1)>0
2 + 15x + 5 > 0
15x > -5 - 2
15x > -7
x > -7/15

Answer 2

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

S{-7}

b)x-2(x+3)<x+5
x -2x -6 < x+5
x -2x -x < 5 +6
x -3x < 11
-2x < 11.(-1)
2x > -11
x> -11/2

S{ -11/2}

c)2+5(3x+1)>0
2 + 15x +5 > 0
15x > -2 -5
15x > -7
x > -7/15

S{ -7/15}