Which point is contained in the graph of y

Question

Which point is contained in the graph of y < x +3 ?

quickstudent · Answer

Welcome to Open Study, @Surana !

surana · Answer

Thank you.

quickstudent · Answer

Can you please list which points you are talking about?

quickstudent · Answer

@Surana ?

surana · Answer

The points I was talking about are y < x +3, although there are two bars surrounding the x, so technically it should look like lxl + 3

quickstudent · Answer

Those two bars are very important, because they represent absolute value. Make sure you include them in the equation, otherwise our answers would be wrong.

surana · Answer

Ok, I should probably re-ask a few questions then.

quickstudent · Answer

Let's work through this question, first. Now let me explain. A point is a location on a graph. What you showed in your question is the equation of the line on the graph. What the question is saying is , which point is on the line that is represented by the equation.

quickstudent · Answer

Is this a multiple choice question?

surana · Answer

Yes.

quickstudent · Answer

So, what are the choices?

surana · Answer

The one I chose was (0,3). I don't remember the other choices.

quickstudent · Answer

OK, so all you need to do to know whether that point is a solution to the equation is replace the x and y values. 

The first value, 0, is the x value. And the 3 is the y value. Simply replace those values in the equation and see if you get a true statement.

surana · Answer

(0,3) was the "wrong" choice.

quickstudent · Answer

OK, so is this what you did?
3 < l0l + 3  =  ?

surana · Answer

No.

quickstudent · Answer

Well, that is what you have to do.

surana · Answer

Okay, I'll try it out then.

quickstudent · Answer

See, the absolute value of 0 is just 0, because 0 is 0 steps away from 0. :)
So, with that simplified now, we add 3 to 0, which is equal to 3. This gives us the statement:  3 < 3 

You tell me, is this a true or false statement?

surana · Answer

True.

quickstudent · Answer

No, this is a false statement. This is because 3 is not less than 3. Look again.

surana · Answer

Ah, yes, I see now.

quickstudent · Answer

That means that the point (0,3) is not a solution to the equation.

surana · Answer

That is true, it was wrong in my case.

surana · Answer

So what now?

quickstudent · Answer

If you could tell me what the other choices where, we could find out which one was correct.