math help re post
posted by Anonymous on .
solve the compound inequality
0<2x4<8

two parts to this problem
1) 2x4> 0
2) 2x4 <8
solve each separately
1) 2x > 4
x>2
2) 2x<12
x<6
if x is greater than 2 and less than 6 write it like this: 2<x<6 
I solve these all together by adding 4 to all 3 parts and then dividing all 3 parts by 2.
that way, I don't have to worry about the directions of the inequalities.
0<2x4 <8
4<2x<12
2<x<6