InterviewSolution
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InterviewSolution
| 1. |
If |x + 5 | < 3, then : (a) −8 < x < 8 (b) −2 < x < 2 (c) 2 < x < 8 (d) −8 < x < − 2 |
| Answer» <p style="text-align: justify;"><span style="font-family:Arial,Helvetica,sans-serif"><span style="color:#000000"><strong>Correct option (d) −8 < x < − 2</strong></span></span></p><p style="text-align: justify;"><span style="font-family:Arial,Helvetica,sans-serif"><span style="color:#000000"><strong>Explanation:</strong></span></span></p><p style="text-align: justify;"><span style="font-family:Arial,Helvetica,sans-serif"><span style="color:#000000">|x + 5 | < 3 </span></span></p><p style="text-align: justify;"><span style="font-family:Arial,Helvetica,sans-serif"><span style="color:#000000">⇒ x + 5 < 3 and −x − 5 < 3 </span></span></p><p style="text-align: justify;"><span style="font-family:Arial,Helvetica,sans-serif"><span style="color:#000000">⇒ x < 3 − 5 and −5 − 3 < x </span></span></p><p style="text-align: justify;"><span style="font-family:Arial,Helvetica,sans-serif"><span style="color:#000000">⇒ x < − 2 and − 8 < x </span></span></p><p style="text-align: justify;"><span style="font-family:Arial,Helvetica,sans-serif"><span style="color:#000000">⇒ − 8 < x < − 2.</span></span></p> | |