Question

Which conjunction or disjunction is equivalent to the open sentence

4 – 2|n + 6| ≥2?


n + 6 ≤ 1 and n + 6 ≥ –1
n + 6 ≤ –1 and n + 6 ≥ 1
–5 < n or n < –7
n > –5 or n < –7

Answer 1

all you need is to solve the problem
4-2|n+6|>=2
subtracting 4 from both sides
-2|n+6|>=-2
dividing by -2 and flipping sign of inequality
|n+6|<=1
-1<=n+6<=1 subtracting 6 from both sides
-7<=n<=-5
the conjunction will be -7<=n and -5>= n
which is choice a