Carcass wrote:
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On the number line, the shaded interval is the graph of which of the following inequalities?
A) \(|x| \leq 4\)
B) \(|x| \leq 8\)
C) \(|x - 2| \leq 4\)
D) \(|x - 2| \leq 6\)
E) \(|x + 2| \leq 6\)
From the figure x lies between {-8, 4} so easiest way is to check for the boundary, for instance try for x = -8 and the equation that satisfies is B and E, and for x = 4, A and E satisfies. So only E satisfies both the boundary condition.
Answer is E)