solve for y, x-2y>-4(Happy)

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- Apr 2nd 2010, 01:16 PMandrelt375transform x-2y>-4?
solve for y, x-2y>-4(Happy)

- Apr 2nd 2010, 01:45 PMAnonymous1
- Apr 2nd 2010, 01:45 PMpickslides
Hi there andrelt375, you now to employ your knowledge and algebra and inequalities here.

We need to isolate $\displaystyle y$

$\displaystyle x-2y>-4$

First, lets take $\displaystyle x$ from both sides.

$\displaystyle x{\color{red}-x}-2y>-4{\color{red}-x}$

Gives us

$\displaystyle -2y>-4-x$

Now we need to divide each side by $\displaystyle -2$ . When we divide through by a negative value the sign will flip the other way.

$\displaystyle \frac{-2y}{{\color{red}-2}}<\frac{-4-x}{{\color{red}-2}}$

Leaving

$\displaystyle y<\frac{-4-x}{-2} $

This can be simplified further as

$\displaystyle y<\frac{-4}{-2}+\frac{-x}{-2} $

$\displaystyle y<2+\frac{x}{2} $

And we are finished. (Hi) - Apr 2nd 2010, 01:48 PMAnonymous1