Inequalities for solving 4x & # 178; - 20x < 25

Inequalities for solving 4x & # 178; - 20x < 25

4x²-20x<25
4x²-20x+25<25+25
(2x-5)^2<50
-5 root 2 < 2x-5 < 5 root 2
5-5 radical 2 < 2x < 5 + 5 radical 2
(5-5 radical 2) / 2 < x < (5 + 5 radical 2) / 2