anonymous
  • anonymous
Solve the system: the absolute value of y >or equal to 2 and the absolute value of x
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
Have you drawn this yet?
anonymous
  • anonymous
I can't remember how to draw absolute value graphs like that @xartaan
anonymous
  • anonymous
Just to clarify, this is \[|y \ge 2| \] and \[|x \le 1 |\] right?

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anonymous
  • anonymous
or \[|y| \ge 2 \] and \[|x| \le 1\]
anonymous
  • anonymous
yep
anonymous
  • anonymous
wait no
anonymous
  • anonymous
the absolute value is just on the x and y
anonymous
  • anonymous
oh wait nvm you got it the second time
anonymous
  • anonymous
A lot of ttimes when graphing things its easier to start with the very basic graph and then adjust it. For example do you know what just the absolute value function looks like?
anonymous
  • anonymous
isn't it like a V shape?
anonymous
  • anonymous
yep. And if you think about it, it makes sense, because if you plug in -1 for x, then |x| is 1. So you get a graph like.
anonymous
  • anonymous
|dw:1378743925989:dw|
anonymous
  • anonymous
The reason I was so confused in none of the graphs for the answer choices is a V shape
anonymous
  • anonymous
Now, if that makes sense to you. Consider the inequality you've got for x. In words "the absolute value of x is less than or equal to 1." Think about what x can be then... |x| immediately tells us that x will be never lower than 0, it can never be negative. Less than or equal to 1, means its will never be bigger than one. If we add those constraints to the picture. We get:
anonymous
  • anonymous
|dw:1378744173279:dw| Just this shaded region.
anonymous
  • anonymous
Sadly, I have to get going to my own math class, but try to draw this graph on your own and understand the reason only the shaded region satisfies the inequality |x| >=1 . Once it makes more sense, do the same thing with y, but maybe in a different color of pencil or on a separate sheet. When you combine the two graphs, you will get the regions that are solutions to your set of inequalities. If that still doesnt make sense there are folks way more qualified to help than I, so don't give up!
anonymous
  • anonymous
thank you for your help!

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