De oplossingenverzameling van

| | |x| − 1| − 2 | ≤ 3   is 		A.   { 0 }
B.   [ − 3, +3 ]
C.   [ − 4, +4 ]
D.   [ − 5, +5 ]
E.   [ − 6, +6 ]
A    B    C    D    E 

[ 5-7553 - op net sinds 28.10.13-(E)-27.10.2023 ]

Translation in   E N G L I S H

The solution set of
| | |x| − 1| − 2 | ≤ 3   is 		A.   { 0 }
B.   [ − 3, +3 ]
C.   [ − 4, +4 ]
D.   [ − 5, +5 ]
E.   [ − 6, +6 ]

Oplossing - Solution

    | ||x| − 1| − 2 | ≤ 3
⇔ −3 ≤ ||x| − 1| − 2 ≤ 3   /+2
⇔ −1 ≤ ||x| − 1| ≤ 5
⇔    ||x| − 1| ≤ 5
⇔ − 5 ≤ |x| − 1 ≤ 5   /+1
⇔ −4 ≤ |x| ≤ 6
⇔     |x| ≤ 6
⇔ − 6 ≤ x ≤ +6