Question

a)2x-6<0  b)-3x+3<0  c)-2x+6<0  d)2x+3<5x-4  e) 2+3x>-5+2x  f)x/3-2>0  g)2x-1/2>x+2/3  h)x-4/3<-2x-1/2  i)1/2x-4<0  j)1/2-2x<0

Answer 1

a)2x-6<0 ==> 2x < 6 ==> x < 3 

b)-3x+3<0 ==> -3x < -3(-1) ==> 3x > 3 ==> x > 1

c)-2x+6<0 ==> -2x < -6(-1) ==> 2x > 6 ==> x > 3 

d)2x+3<5x-4 ==>2x -5x < -4-3 ==>  -3x < 7(-1) ==> 3x > 7 ==> x > 7/3

e) 2+3x>-5+2x  ==> 3x-2x > -3-2 ==> x > -5 

f)x/3-2>0=x - 6 > 0 ==> x > 6 

g)2x-1/2>x+2/3 ==> 3(2x-1)>2(x+2)==> 6x-3>2x+4==> 6x-2x>4+3==> 4x>7==> x>7/4

h)x-4/3<-2x-1/2==> 2(x-4)<3(-2x-1)==>2x-8 <-6x-3==>2x+6x<-3+8==>8x<5==> x<5/8 

i)1/2x-4<0 ==> x-4<0 ==> x < 4

j)1/2-2x<0==> -2x<0(-1)==>2x>0==> x > 0