Question

Solve the inequality 2x²+x-3<0

Answer 1

`-(3)/(2) <x<1`

Explanation:

`2x^(2) +3x-2x-3<0`

`x(2x+3)-(2x+3)<0\\(2x+3)(x-1)<0\\When 2x+3=0 or x-1=0 \\x= -(3)/(2),1`

`x<-(3)/(2) \\-(3)/(2) <x<1\\x<1`