If |x 2| = p, where x

Question

If |x − 2| = p, where x < 2, then x − p =

(A) −2

(B) 2

(C) 2 − 2p

(D) 2p − 2

(E) |2p − 2|

ktzsikka · Accepted Answer

Given x<2,so x-2<0
Hence |x − 2|= -(x-2)=p

x-2=-p
x=2-p
x-p=2-2p... So, answer is  option C

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PyjamaScientist · Answer

∣x−2∣=p

⇒x−2=−p

⇒x−2−p+2=−p−p+2

⇒x−p=2−2p

If ∣x−2∣=p

⇒x−2=p

⇒x−p=2

But x<2

Then x−p=2−2p is right answer.  Option C.

BrushMyQuant · Answer

↧↧↧ Detailed Video Solution to the Problem ↧↧↧

Given that |x − 2| = p, where x < 2, then x − p

x < 2
=> x - 2 < 0

If A<0, then |A| = -A

=> |x - 2| = -(x - 2) = -x + 2

|x − 2| = p
=> -x + 2 = p
=> x = 2 - p

=> x - p = 2 - p - p = 2 - 2p

So, Answer will be C
Hope it helps!

Watch the following video to MASTER Absolute Values

bumpbot · Answer

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If |x 2| = p, where x < 2, then x p =

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