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Graph the inequality: –2(y – 2) < 2(y – 4)

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Graph the inequality: –2(y – 2) < 2(y – 4)

Guest Aug 29, 2014

#2
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Chris has assumed that this is a co-ordinate geometry question.

I did not assume this,  I would have just graphed y>3 on a number line and labelled the number line y.

Most likely Chris provided the desired answer.

It is important that askers word their questions as clearly as possible.

Usually that means use brackets but other things need to be clear too.

Melody  Aug 30, 2014
#1
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+5

Let's look at this for a second before we worry about a graph.....the reason for this will be clear in a moment...

–2(y – 2) < 2(y – 4)   let's simplify this

-2y + 4  < 2y - 8   add 8 to both sides and add 2y to both sides.....so we have

12 < 4y     divide both sides by 4

12/4 < y   =    3 < y       which  is the same thing as     y > 3

Note that this is easier to deal with than the original equation!!!!

The graph of this includes every point in the x-y plane that lies ABOVE (but, not ON) the line y = 3.....!!!!

The graph can be seen here.......https://www.desmos.com/calculator/v70dr45bzf

(Thanks, Alan, for spotting my earlier error!!!!)

CPhill  Aug 29, 2014
#2
+94183
+5

Chris has assumed that this is a co-ordinate geometry question.

I did not assume this,  I would have just graphed y>3 on a number line and labelled the number line y.

Most likely Chris provided the desired answer.

It is important that askers word their questions as clearly as possible.

Usually that means use brackets but other things need to be clear too.

Melody  Aug 30, 2014