Question

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
Answer

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

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

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

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

Answer 1

Have you tried a truth table? Try the values for the coordinates given and see if they satisfy the given equations.

Answer 2

how do you do a truth table? i have been stuck on this equation for hours..

Answer 3

its something like this ?

Answer 4

yes

Answer 5

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 6

so [x+10]+3 is the answer?

Answer 7

@ganeshie8 is so smart

Answer 8

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 9

dude i just want to know the answer, i have no clue how to do this :[

Answer 10

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 11

thank you.. finally -_- thank you so much.