Quadratic Equations and Inequalities

2010004505

Level: 
B
Find all the values of \(x\) at which the following expression attains negative value. \[ 2 x^{2} - 7x - 4 \]
\(x\in \left (-\frac{1}{2},4 \right )\)
\(x\in \left (-\infty ,-\frac{1}{2} \right )\cup \left (4,\infty \right )\)
\(x\in \left( -4,\frac{1}{2}\right) \)
\(x\in \left (-\infty ,-4\right )\cup \left (\frac{1}{2},\infty \right )\)
\(x\in \left( -4,-\frac{1}{2}\right) \)