Question

Answer 1

c:=>2(2x-1)+6>3(x+2)-24

=>4x-2+6>3x+6-24

=>4x+4>3x-18

=>x>-22

d: \(\dfrac{1-2x}{5}< \dfrac{2+3x}{2}-\dfrac{1}{3}\)

=>6(1-2x)<15(2+3x)-10

=>6-12x<30+45x-10

=>-12x+6-45x-20<0

=>-57x-14<0

=>-57x<14

hay x>-14/57

Answer 2

c) \(\dfrac{2.\left(2x-1\right)}{6}\) + \(\dfrac{6}{6}\) > \(\dfrac{3.\left(x+2\right)}{6}\) - \(\dfrac{24}{6}\)

<=> 4x - 2 + 6 > 3x + 6 - 24

<=> 4x - 2 + 6 - 3x -  6 + 24 > 0

<=> x + 22 > 0

<=> x > -22 

S={x/x>-22}

<=> 6 - 12x < 30 + 90x - 10

<=> 6 - 12x - 90x + 10 < 0

<=>  -102x + 16 < 0

<=> -102x < -16

<=> x > \(\dfrac{8}{51}\)

S= {x/x>\(\dfrac{8}{51}\)}