Question

If some one could me help me with this, that would be GREAT! :D
Select the inequality of the graph shown below.

graph of an absolute value inequality. There are points at (-12, 1), (-11, 2), (-10, 3), (-9, 2), and (-8, 1). Shading is below the solid line

y greater than or equal to – |x + 10| + 3

y greater than or equal to – |x – 10| + 3

y less than or equal to – |x – 10| + 3

y less than or equal to – |x + 10| + 3

Answer 1

First figure out the value of y, by solving the range if you can.....

Answer 2

hmm... how?

Answer 3

choose random points and see if they make the inequality true, if yes then its the right one. if no then no. the fact that the shading is below the line should help as well

Answer 4

ur vertex is (-10, 3)..

so, the thing inside mod must be |x+10|

since "y" coordinate of vertex is 3, u should add 3 to it.
RHS becomes, |x+10| + 3


so far is it ok ?

Answer 5

hmm..
|x+10| + 3
is just two pieces of straight lines, right ?

we still need to figure out two things :
1) whether it is facing down or up
2) inequality (value is greater than RHS, or less than RHS)

Answer 6

ok... use below to compute the full equation.

1) if the graph faces down, put a -ve sign before mod(so, it becomes -|x+10|)
2) if the shaded region is below, the inequality is <=,
3) if the shaded region is above, the inequality is >=

Answer 7

so [x+10]+3

Answer 8

btw ur cute

Answer 9

so then its y less than or equal to – |x + 10| + 3? and thank you :) lol

Answer 10

yup

Answer 11

Thanks :) I appreciate ur help :D