How to answer these absolute value equations (1 Viewer)

[xXnukerrrXx]

|x+2|+|3x-1|<5
|x-3|+|x+4|=x-2
thanks ^^

 

[slyhunter]

Graph.

 

[x_cp3]

Critical values table if you know what i mean

 

[Drongoski]

|x+2|+|3x-1|<5
|x-3|+|x+4|=x-2
thanks ^^

Not 2U Advanced questions.

For 1st one I think it's for -1 < x < 1

2nd question: no solution (no x satisfies the equation).

 

[SpiralFlex]

1. If you want to use the graphical method:





There are three cases,

For






For






For





Now you got this first part of the graph

Graph each part, now since I am lazy: http://img710.imageshack.us/i/mspaint2.png/

Now graphing

You will see the solution is:

Ask yourself where is the graph less than that line ? So finding the points of intersection and reading off the graph you will get the answer of

Did anyone get no solutions for the second question?

 

[Drongoski]

Spiral: good work so far.

 

[SpiralFlex]

Spiral: good work so far.

I got no solutions for the second question, that is strange.

 

[Drongoski]

I got no solutions for the second question, that is strange.

Great work Spiralflex. That's correct. If you graph LHS and RHS they never meet.

 

[SpiralFlex]

Great work Spiralflex. That's correct. If you graph LHS and RHS they never meet.

You should like a wizard and I sound like your apprentice.

 

[Drongoski]

You should like a wizard and I sound like your apprentice.

I note: you have grown in stature mathematically - you've taken only 6 months whereas I have taken like . . . .

Confession

I got Q2 wrong at first myself whereas you got it right 1st time.

 

[SpiralFlex]

I note: you have grown in stature mathematically - you've taken only 6 months whereas I have taken like . . . .

I hope to be like you one day oh great one.

 

[ohexploitable]

Would be much easier to graph |x+2| and |3x-1| then do the addition of ordinates thing, but that's 4U...

 

[SpiralFlex]

Would be much easier to graph |x+2| and |3x-1| then do the addition of ordinates thing, but that's 4U...

That takes ages for me...

 

[xXnukerrrXx]

thanks havnt revised this for ages kinda forgot =.=

 

[SpiralFlex]

thanks havnt revised this for ages kinda forgot =.=

No worries.

 

[Drongoski]

Oh it's you Pierre. For a moment I took it seriously.

 

[mirakon]

lol drongoski, ol' matty's gonna get banned within 48 hours.

 

[Drongoski]

lol drongoski, ol' matty's gonna get banned within 48 hours.

Thought our moderators are more alert than that.

 

[mirakon]

Thought our moderators are more alert than that.

mine is a maximum timeline. He'll be banned BY then

 

[cutemouse]

I've been told you're always alone at UNSW...

That is true.