MazinI6842 MazinI6842
  • 30-10-2022
  • Mathematics
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Which values are included in the solution set of this inequality?2x2 – 1 > 631 = 11 = 5= 3-= -41 = -2

Which values are included in the solution set of this inequality2x2 1 gt 631 11 5 3 41 2 class=

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PaganZ175308 PaganZ175308
  • 30-10-2022
[tex]2x^2-1>6x[/tex]

Solve for x:

[tex]\begin{gathered} 2x(x-3)>1 \\ so: \\ x>\frac{1}{2}(3+\sqrt{11})\approx3.158 \\ or \\ x<\frac{1}{2}(3-\sqrt{11})\approx-0.158 \end{gathered}[/tex]

Therefore, the correct options will be:

[tex]\begin{gathered} x=5 \\ x=-4 \\ x=-2 \end{gathered}[/tex]

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