Solve the inequality and write your answer in interval notat

Solve the inequality and write your answer in interval notation.

Solution

given inequality is

2x^2 -9x -5 0

2x^2 -10x +x -5 0

2x(x-5) +1(x-5) 0

(2x+1) (x-5) 0

this is true

when

x>-1/2 and x<5

the solution is -1/2 x 5