taskforce wrote:
For Option E, if you multiply it with the negative sign then you will get the same set as that of option B.
When you multiply the inequality with the negative sign make sure you flip the inequalities.
So it will become -2<=x<=6
|x - 2| ≤ 4
Case I:x - 2 ≤ 4
x ≤ 6
Case II:-(x - 2) ≤ 4
-x + 2 ≤ 4
-x ≤ 2
Multiplying both sides by -1 [The inequality will flip];
x ≥ -2
Therefore, x must lie between -2 and 6
i.e. -2 ≤ x ≤ 6
On multiplying by -1, it will be
2 ≥ -x ≥ -6
Hence, option B and E
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I hope this helps!
Regards:
Karun Mendiratta
Founder and Quant Trainer
Prepster Education, Delhi, Indiahttps://www.instagram.com/prepster_education/