Question

write the solution in interval notation
|x+8| 14 years ago

Answer 1

i understand part of it i found x< or equal to 4 and x is greater than or equal to 20

Answer 2

(-00,-20) U (4,00) ?

Answer 3

yes

Answer 4

@aanders , that is not correct

Answer 5

Hint:
Let -b - a = c and b - a = d

Suppose:
|x + a| ≤ b

Then:
-b ≤ x + a ≤ b

Thus:
-b - a ≤ x ≤ b - a

Therefore
c ≤ x ≤ d

In interval notation, it would be:

[c,d]

In this case,
|x + 8| ≤ 12

Then:
-12 ≤ x + 8 ≤ 12

Thus:
-12 - 8 ≤ x ≤ 12 - 8

Therefore:
-20 ≤ x ≤ 4

In interval notation:
[-20,4]

Answer 6

@aanders