Which of the following points lie in the solution set to the following system of inequalities?
y less than or equal to x - 5
y greater than or equal to -x - 4
(-5, 2)
(5, -2)
(-5, -2)
(5, 2)

- anonymous

- chestercat

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- anonymous

@amistre64 @Callisto @phi

- anonymous

@AravindG

- AravindG

Did you graph them and found the solution region?

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## More answers

- anonymous

No, How would I do that?

- anonymous

use graph paper
graph the lines y=x-5 and y=-x-4

- AravindG

yep

- anonymous

find the region below or on the line y=x-5 and above or on the line y=-x-4

- AravindG

you could also use a graphing calculator

- AravindG

Here is one :
http://my.hrw.com/math06_07/nsmedia/tools/Graph_Calculator/graphCalc.html

- anonymous

I'm in a library, so I don't have graphing paper, and I have no clue how to use a graphing calculator. :/

- AravindG

its easy just plugin the quations in boxes y1 and y2

- AravindG

*equations

- anonymous

Okay. I'll try it right now;

- anonymous

or go to https://www.desmos.com/calculator and type in the two equations
(copy and paste works too)

- anonymous

How do I make a less than or equal too sign on the graphing calculator?

- anonymous

you don't need to, just graph the line and remember you are looking at the region less than or equal to it

- AravindG

In my calculator click on the square having equal to after the y1 or y2

- anonymous

I'm so confused > . <

- anonymous

in desmos, enter the less than sign then the equals sign
<= or >=

- anonymous

Okay, I'm gonna use desmos then.

- AravindG

ok.

- anonymous

I did it. What next?

- anonymous

you typed in both your equations?

- anonymous

Yes.

- anonymous

look at where your four points are

- anonymous

see which one satisfies both inequalities

- anonymous

0,5 and -4,5

- anonymous

@Peter14

- amistre64

i woulda just plugged in the 4 points to see what made true results

- amistre64

(-5, 2)
is 2 <= -5 - 5 true?
is 2 >= --5 - 4 true?
(5, -2)
is -2 <= 5 - 5 true?
is -2 >= -5 - 4 true?
(-5, -2)
is -2 <= -5 - 5 true?
is -2 >= --5 - 4 true?
(5, 2)
is 2 <= 5 - 5 true?
is 2 >= -5 - 4 true?

- anonymous

Oh, okay! @amistre64 I'll try that,

- amistre64

it is nice to know that other stuff, but it takes way to much time when taking a test.

- anonymous

It's -5, -2, right?

- amistre64

(-5, -2)
-2 <= 0 true
-2 >= 1 false
not that one

- amistre64

well, -10 up top, but still false :)

- anonymous

So, it's -5, something right?

- amistre64

dunno, lets try another one
(5, -2)
-2 <= 5 - 5
-2 <= 0 true
-2 >= -5 - 4
-2 >= -9 true
that fits nicely

- anonymous

Awesome. Thanks :)

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