Discussion
The solution set of inequality \(|x+2| \lt 3\) is
Answer: B
The solution set is \(-5 \lt x \lt 1\).
\(|u| \lt 3\) means \(-3 \lt u \lt 3\). With \(u = x + 2\):
\[ \begin{aligned} -3 &\lt x + 2 \lt 3 \\ -5 &\lt x \lt 1 \end{aligned} \]
Geometrically, x is within 3 units of -2. The option \(-1 \lt x \lt 5\) is the solution of \(|x - 2| \lt 3\), the usual sign slip. The other intervals do not have -2 at their centre.
No comment is present. Be the first to comment.
Loading…
Post your comment
Please log in or register to post a comment.
Examination Categories
- SSC Exams
- Banking Exams
- Teaching Exams
- Civil Services Exams
- Railways Exams
- Engineering Recruitment Exams
- Defence Exams
- State Government Exams
- Police Exams
- Insurance Exams
- Nursing Exams
- Other Government Exams
- NRA CET
- PG Entrance Exams
- Campus Placement
- MBA Entrance Exams
- CUET and UG Entrance
- Judiciary Exams
- Regulatory Body Exams
- Software Development