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Mathematics 22 Online
OpenStudy (savannah_noelle):

can someone help me solve this? x-1/x+2(greater than or equal to)-2

OpenStudy (savannah_noelle):

OpenStudy (savannah_noelle):

@nincompoop @jigglypuff314 @Preetha

OpenStudy (fwizbang):

Multiply both sides by x+2 . Then move all the x's to the left side and numbers to the right , just like there was an = sign.

OpenStudy (savannah_noelle):

I got x (greater than or equal to) -2x-3

OpenStudy (fwizbang):

Move all of the x's to the left side.....

OpenStudy (savannah_noelle):

do I divide x from the right side away from -2?

OpenStudy (fwizbang):

theres no x in the 3, so that doesn't quite work. But you can add things to both sides....

OpenStudy (savannah_noelle):

x (greater than or equal to) -1?

OpenStudy (fwizbang):

So now to test it, pick a number greater than -1, like 0, and put it back in the original inequality. Does it work?

OpenStudy (agent0smith):

You also can't forget any values where the original inequality is undefined. Remember that the denominator of the original fraction cannot be equal to zero. So which x value makes the denom. zero?

OpenStudy (agent0smith):

So you have x = -1, and x = ? (from above) Use those two values, draw a number line, and do point-tests to see where the inequality is true.

OpenStudy (savannah_noelle):

It does work so it's true

OpenStudy (savannah_noelle):

But we have to draw it on a number line, so shouldn't there be another solution?

OpenStudy (agent0smith):

See my last two posts.

OpenStudy (savannah_noelle):

Ohhhh -2 makes it zero

OpenStudy (savannah_noelle):

Thanks guys!

OpenStudy (agent0smith):

Did you get both of the solutions correctly?

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