Solve I am having trouble solving this problem Can someone h

Solve. I am having trouble solving this problem. Can someone help me?

2m³+7m²>4m

2m^3 + 7m^2 > 4m

m ( 2m^2 + 7m ) > 4m

2m^2 + 7m > 4

subtracting 4 from both sides

2m^2 + 7m - 4 > 0

(2m-1)(m+4) > 0

checking the inequality at 4 intervals

-------------------- -4 ----------------0 --------- 1/2 -------------------

1st interval (-infinity , -4 ) negative

2nd interval ( -4 to 0 ) positive

3rd interval ( 0 to 1/2) negative

4th interval (1/2 to infinity) positive

hence, solution is

( -4 , 0 ) U ( 1/2 , infinity )