Question

The graph shown is the solution set for which of the inequalities given below?

Answer 1

http://media01.owotw.com/g_alg01_2011/13/img_alg01_fe_a_36.gif

Answer 2

y ≤ |x| - 2
y < |x + 2|
y ≤ |x + 2|

Answer 3

i get the first one

Answer 4

are those the choices for the graph?

Answer 5

it's not the first.

Answer 6

ya ok

Answer 7

then im not sure

Answer 8

(i) y ≤ |x| - 2
(ii) y < |x + 2|
(iii) y ≤ |x + 2|

From the graph, you can see that all y values are greater than or equal to 0. From this, we can know that (i) must not be the choice.
( Let x=-1, |x| = 1, y=|x|-2 = 1-2 = -1 -> not the solution in the graph, so (i) must be wrong)

Then, you have only 2 options left.
To distinguish the two, you need to know the line for inequality with the sign '<' and '≤'
For '<', the line of the graph should be drawn with a dotted line, while for '≤', it's not.
So, observe the graph again, can you get the answer now?

Answer 9

so its the middle one

Answer 10

Why?

Answer 11

It is not a dotted line, yes.
But for dotted line, the sign should be '<'. Now, it's not, what should be the sign then?

Answer 12

my equation buttons not work ing but it would be the last one

Answer 13

Yes, it's the last one :)

Answer 14

thank you

Answer 15

welcome!~