Mathematics 27 Online
OpenStudy (anonymous):

How would you graph the inequality y < -2 or y > 3?

OpenStudy (anonymous):

I don't know how to incorporate the word 'or' into it..

OpenStudy (anonymous):

Solutions can satisfy one or the other inequality.

OpenStudy (anonymous):

So I just work for one and it will solve the other as well?

OpenStudy (anonymous):

Think about it again in terms of collections of points.. You want all the points (h,k) where k < -2 or k > 3.

OpenStudy (anonymous):

No you have to deal with both separately.

OpenStudy (anonymous):

That's the problem I guess..each inequality is as simplified as it will go it seems to me...and I can't figure out how to graph both along with 'or'...

OpenStudy (anonymous):

Pick a point, any point on the Cartesian plane.

OpenStudy (anonymous):

3, on the x axis

OpenStudy (anonymous):

Ok, so is the y part of (3,0) less than -2 or greater than 3?

OpenStudy (anonymous):

neither?

OpenStudy (anonymous):

It's a yes or no question.

OpenStudy (anonymous):

oops...missed the y part in your explanation...hold on..

OpenStudy (anonymous):

What is the y part of (3,0) ?

OpenStudy (anonymous):

0?

OpenStudy (anonymous):

Correct. Is 0 less than -2 or greater than 3?

OpenStudy (anonymous):

neither..? zero is not greater than 3, nor less than negative two..

OpenStudy (anonymous):

It is a yes or no question.

OpenStudy (anonymous):

Is 0 less than -2 or greater than 3?

OpenStudy (anonymous):

I don't think it's a yes or not question.

OpenStudy (anonymous):

Ah. Then this is the problem

OpenStudy (anonymous):

I picked the wrong number I'm guessing...:P

OpenStudy (anonymous):

It is a yes or no question. A standard form of boolean logic. Are you familiar with truth tables?

OpenStudy (anonymous):

No, it's a fine number.

OpenStudy (anonymous):

I'm not familiar with boolean logic or truth tables...I'm a rural hoosier girl from Indiana..

OpenStudy (anonymous):

Is it true that you like being shot in the foot, or poked in the eye?

OpenStudy (anonymous):

You're losing me..

OpenStudy (anonymous):

Sorry, I'm giving another example.

OpenStudy (anonymous):

Not intending to be mean. Just had to pick two things I was pretty certain you didn't like ;p

OpenStudy (anonymous):

It's just not clicking...

OpenStudy (anonymous):

Ok, lets try this.

OpenStudy (anonymous):

Think of a number between 1 and 100.

OpenStudy (anonymous):

25

OpenStudy (anonymous):

Wait, do it again and don't tell me.

OpenStudy (anonymous):

oh, got it...ok I've thought of a different number.

OpenStudy (anonymous):

I will guess your number in less than 7 guesses.

OpenStudy (anonymous):

If you can answer each of my questions with only a yes or a no.

OpenStudy (anonymous):

OpenStudy (anonymous):

ok, whatever...I've got to get back to my math problem here soon though..

OpenStudy (anonymous):

Is your number less than 25 or greater than 75?

OpenStudy (anonymous):

neither.

OpenStudy (anonymous):

You mean no.

OpenStudy (anonymous):

No your number is not less than 25 or greater than 75

OpenStudy (anonymous):

ok then, no.

OpenStudy (anonymous):

Ok, so is your number less than 38 or greater than 63?

OpenStudy (anonymous):

no

OpenStudy (anonymous):

Is your number less than 45 or greater than 56?

OpenStudy (anonymous):

no

OpenStudy (anonymous):

Ok, is your number less than 48 or greater than 51?

OpenStudy (anonymous):

no

OpenStudy (anonymous):

Is your number 49 or 50?

OpenStudy (anonymous):

50...so apart from being cool,..how does this apply to my math problem

OpenStudy (anonymous):

You are supposed to answer yes or no. ;p

OpenStudy (anonymous):

Is your number 49 or 50?

OpenStudy (anonymous):

oops...yes then...

OpenStudy (anonymous):

Good!

OpenStudy (anonymous):

Ok, now that we've had some warming up.. Is 0 less than -2 or greater than 3?

OpenStudy (anonymous):

Yes or no.

OpenStudy (anonymous):

no

OpenStudy (anonymous):

Is 7 less than -2 or greater than 3?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

Is -300 less than -2 or greater than 3?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

So lets look at the equality for a second. What are the lines y = -2 or y = 3?

OpenStudy (anonymous):

What do they look like?

OpenStudy (anonymous):

two horizontal lines on the y axis?

OpenStudy (anonymous):

through the y axis at the points (0,3) and (0,-2)

OpenStudy (anonymous):

yeah I was thinking that too...was not sure how specific you wanted me to be..

OpenStudy (anonymous):

Right? So now think about all the points above the top line y=3. For those points is the y part greater than 3 or less than -2?

OpenStudy (anonymous):

yes or no

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

And for all the points below the line y = -2 Are the y values of those points greater than 3 or less than -2? (yes or no)

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

And for the points in between those two lines.. Are the y values of those points greater than 3 or less than -2?

OpenStudy (anonymous):

no

OpenStudy (anonymous):

Great! So the solution to the inequality y < -2 or y > 3 Would be all the ones you said yes for. They are the points for which the y part is greater than 3 or less than -2.

OpenStudy (anonymous):

Shade those regions (and use dotted/dashed lines for their edges because it's not greater than or equal to).

OpenStudy (anonymous):

I did, thanks polpak.

OpenStudy (anonymous):

So just remember that if you have multiple conditions joined by an 'or', the whole thing is true if any one of them is true. And false only if all are false.

OpenStudy (anonymous):

ok then...to more math problems...I may be back on here tonight..dunno..

OpenStudy (anonymous):

Ok, good luck. Thank you for your patience.

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