Question

Which values are included in the solution set of this inequality?2x2 – 1 > 631 = 11 = 5= 3-= -41 = -2

Answer 1

`2x^2-1>6x`

Solve for x:

`\begin{gathered} 2x(x-3)>1 \\ so: \\ x>(1)/(2)(3+√(11))\approx3.158 \\ or \\ x<(1)/(2)(3-√(11))\approx-0.158 \end{gathered}`

Therefore, the correct options will be:

`\begin{gathered} x=5 \\ x=-4 \\ x=-2 \end{gathered}`