Question 933196
solve, interpret geometrically, and graph.
When applicable, write answers using both inequality notation
and interval notation.
ǀu + 8ǀ ≥ 3 
***
Given problem indicates (u+8) is equal to or more than 3 units from the origin.
Problem is to solve for u:
There are 2 cases:
Case 1:
u+8≥3
u≥-5
..
Case 2
-(u+8)≥3
u+8≤-3
u≤-11
number line:
<===-11......-5===>
(-&#8734;,-11] U [-5,&#8734;)
When u&#8805;-11 or u&#8804;-5, (u+8) is equal to or more than 3 units from the origin.