Question 722797
1(less than or equal to) 3/2z-2 (less than or equal to) 4 
:
1 <= {{{3/((2z-2))}}} <= 4
treat it as two problems
1 <= {{{3/((2z-2))}}}
multiply both sides by (2a-2)
2z - 2 <= 3
2z <= 3 + 2
2z <= 5
z <= 5/2
z <= 2.5
and
{{{3/((2z-2))}}} <= 4
multiply both sides by (2z-2)
3 <= 4(2z-2)
3 <= 8z - 8
3 + 8 <= 8z
11 <= 8z
11/8 <= z
1.375 <= z
normally written (reverse the inequality sign)
z >= 1.375
:
therefore
z <= 2.5
and
z => 1.375