Identify the solution set of |x + 3| + 7 ≤ 10 and describe the graph in a complete sentence. HELP ME PLEASE.

Question

jim_thompson5910 · Answer

|x + 3| + 7 ≤ 10

|x + 3| + 7-7 ≤ 10-7

|x + 3|  ≤ 3

-3 ≤ x + 3  ≤ 3

I'll let you finish

anonymous · Answer

wait thats the set of solutions right?

jim_thompson5910 · Answer

well it's not complete since I'm letting you finish up

jim_thompson5910 · Answer

do you know what to do next?

anonymous · Answer

is it -6 ≤ x ≤ 0 ?

jim_thompson5910 · Answer

good

jim_thompson5910 · Answer

that's your solution set, basically any number between -6 and 0 (including both endpoints) is part of the solution set

anonymous · Answer

so what does it mean to describe the graph? that its any points in between -6 and 0?

jim_thompson5910 · Answer

the graph will be a number line where you will have 2 closed circles at -6 and 0

then you will shade between those two closed circles

jim_thompson5910 · Answer

the shaded region on the number line (including the closed circles) represents the set of points that are in the solution set

jim_thompson5910 · Answer

it's a visual representation of the solution set

anonymous · Answer

oh! now i remember this!!! thank you!!

jim_thompson5910 · Answer

you're welcome