Question

resolva as inequações a) 3x-5>= -2x+1 b) -4x+3<=2 (x+8) c) -3x+5 (2x+8)<=3x - 8

Answer 1

a) 3x + 2x >= 1 + 5
5x >= 6
x >= 5/6
b) -4x + 3 <= 2x + 16
-4x - 2x <= 16 - 3
-6x <= 13 ×(-1)
6x <= -13
x <= -13/6
c) -3x + 10x + 40 <= 3x - 8
-3x + 10x - 3x <= -8 - 40
7x - 3x <= -32
4x <= -32
x <= -32/4
x <= -8

Answer 2

a) 3x-5 > -2x+1
3x+2x > 1+5
5x > 6
x > 6/5

b) -4x+3 < 2(x+8)
-4x+3 < 2x+16
-4x-2x < 16-3
-6x < 13 .(-1)
6x > -13
x > -13/6

c) -3x+5 (2x+8) < 3x-8
-6x²-24x+10x+40 < 3x-8
-6x²-14x+40 < 3x-8
-6x²-14x-3x < 8-40
-6x² -17x < -32