For the inequality $|x+3|≤5$ which of the following is/are true :
A. x ≥ 2
B. x ≤ -8
C. $x \in [-8, 2]$
D. x= 0
E. x= 4
Choose the corret answer from the options given below :
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → C and D only
$|x+3|≤5$
Case 1:
$x≥-3$
$x+3≤5$
$x≤2$
Case 2:
$x≤-3$
$-x-3≤5$
$-x≤8$
$x≥-8$
$∴x∈[-8, 2]$ and $x=0$