#2**+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

#1**+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**+5 **

Best Answer

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