Question 933196: solve, interpret geometrically, and graph.
When applicable, write answers using both inequality notation
and interval notation.
ǀu + 8ǀ ≥ 3
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! 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===>
(-∞,-11] U [-5,∞)
When u≥-11 or u≤-5, (u+8) is equal to or more than 3 units from the origin.
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