Question

State a conjunction or disjunction equivalent to the open sentence.

8 – 2|n + 5| ≥ 4

Answer 1

answers could be
n + 5 ≥ 2 and n + 5 ≤ –2
n > –3 or n < –7
n + 5 ≤ 2 and n + 5 ≥ –2
n < –3 or n > –7

Answer 2

@Dobby1

Answer 3

@Hero

Answer 4

8 – 2|n + 5| ≥ 4
8 - 4 ≥ 2|n + 5|
4 ≥ 2|n + 5|

2|n + 5| ≤ 4
|n + 5| ≤ 2

-2 ≤ n + 5 ≤ 2

-2 - 5 ≤ n ≤ 2 - 5
-7 ≤ n ≤ - 3

The above is equivalent to n + 5 ≤ 2 and n + 5 ≥ –2