Question

Solve the following |x+8|≤5

Answer 1

\(|a|\le b \iff -b\le a \le b\)

so you have \(|x+8|\le 5 \implies -5\le x+8\le 5\)

now subtract \(8\) from every term.

Answer 2

so
-13≤x≤-3. How do i graph that on a number line?

Answer 3

How do I graph my answer on a number line?

Answer 4

| x + 8 | <= 5

(x + 8) <= 5 --- subtract 8 from both sides
x <= 5 - 8
x <= -3

-(x + 8) <= 5
-x - 8 <= 5 --- add 8 to both sides
-x <= 5 + 8
-x <= 13 -- multiply by -1 to make x positive, and change inequality sign
x >= -13

so you have : -13 <= x <= -3

Answer 5

to graph on a number line...
when there is equal signs, the dots are closed.
less then (<) means shaded to the left and greater then (>) means shaded to the right.
So your number line will look like this : closed circles on -3 and -13, shading in between.

Answer 6

is there an echo in here?