Question

utilizando o quadro de sinas resolva está inequação-produto de primeiro grau.
(3-2x)(4x+1)(5x+3)≥0

Answer 1

[3 - 2x][4x + 1][5x + 3] >= 0

3 - 2x >= 0/[4x + 1][5x + 3]
3 - 2x >= 0
-2x >= -3 Multiplica tudo por (-1) e inverte o sinal de > por <:
2x <= 3
x <= 3/2

4x + 1 >= 0/[3 - 2x][5x + 3]
4x + 1 >= 0
4x >= -1
x >= -1/4

5x + 3 >=  0/[3 - 2x][4x + 1]
5x + 3 >= 0
5x >= -3
x >= -3/5

I) _________+___________+______________+______3/2____-_____

II)______-______________-______-1/4______+___________+_______

III)_____-______-3/5______+______________+___________+_______

P)_____+______-3/5_____-_____-1/4______+______3/2______-______

x = {x <= -3/5 ou -1/4 <= x <= 3/2]