Question: Solve 4>8-3x/5>-2.
Split the above inequality into two inequalities.
4 > 8 - 3x/5 and 8 - 3x/5 > -2
Working both inequalities together,
-4 > -3x/5 and 10 > 3x/5
-20 > -3x and 50 > 3x
20/3 < x and x < 50/3
fitting the two inequalities together,
20/3 < x < 50/3
In set notation: x є (20/3,50/3}