Question

How would this probelm be worked out?
|x+3|+7<=10

Answer 1

Okay, what's the first step?

Answer 2

isolate the absolute value?

Answer 3

SUBTRACT 7 from both sides

Answer 4

move the 7 to the right and you will get the absolute value of (x+3)=3

Answer 5

i meant smaller and equal to 3

Answer 6

(x+3)<3 is a conjunction

Answer 7

what happens after that%^^^

Answer 8

Yep! So what does the equation look like after you isolate the absolute value?

Answer 9

so far i got

|x+3|<=3

Answer 10

now write the positive and neagive
x+3<3 and x+3>-3 and solve both

Answer 11

\[|x+3|+7\le10\]

Using Latex

Answer 12

Yep, @takebackmath is right, you're going to go through two different scenarios.
x+3<3 and x+3>-3
So let's do x+3<3 What does that look like?

Answer 13

sorry I had to go. yes two scenarios, now solve both