What is solvefor Y,2x^2-6<-6Y(x)^2 ?

The solution to solvefor Y,2x^2-6 0

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solvefor Y,2x^2-6<-6Y(x)^2

solve for

Y, 2 x^{2} - 6 < - 6 Y (x)^{2}

Y < \frac{- x ^{2} + 3}{3 x ^{2}}; x < 0 or x > 0

Solution steps

2 x^{2} - 6 < - 6 Y x^{2}

Switch sides

- 6 Y x^{2} > 2 x^{2} - 6

Multiply both sides by

- 1

6 x^{2} Y < - 2 x^{2} + 6

Divide both sides by

6 x^{2}; x < 0 or x > 0

Y < \frac{- x ^{2} + 3}{3 x ^{2}}; x < 0 or x > 0

(\frac{x + 2}{4})^{2} + (\frac{y - 3}{16})^{2} = 1

4 x^{2} + 9 y^{2} = 2 x

x^{2} + 4 x + 4 y^{2} = 0

2 x^{2} + 4 y^{2} = 18

2 x^{2} + 4 y^{2} = 16

What is solvefor Y,2x^2-6<-6Y(x)^2 ?
The solution to solvefor Y,2x^2-6<-6Y(x)^2 is Y<(-x^2+3)/(3x^2);\quad x<0\lor x>0