Question

Which conjunction or disjunction is equivalent to the open sentence 8 – 2|n + 5| ≥ 4?

A.
n + 5 ≥ 2 and n + 5 ≤ –2

B.
n > –3 or n < –7

C.
n + 5 ≤ 2 and n + 5 ≥ –2

D.
n < –3 or n > –7

Answer 1

\[ 8 – 2|n + 5| ≥ 4\]
1) subtract \(8\) and get \[-2|n+5|\geq -4\]divide bt \(-2\) and change the inequality to get
\[|n+5|\leq 2\]
remove the absolute values signs, get
\[-2<n+5<2\]

Answer 2

im confused

Answer 3

will give medal for best answer