Very Easy Modulus Question

Algebra Level 3

If |p−6|+p=6,which of the following must be true?

Let's start with an easy one.

p>=6 p<=6 p=0 p=6

Prashant Mudgal by Prashant Mudgal , 34, India

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2 solutions

Prashant Mudgal
Aug 24, 2014

|p-6| + p = 6 means |p-6| = 6-p and it happens when p<= 6

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Melissa Quail
Jan 7, 2015

If you rearrange the equation you get:

|p-6|+p=6

|p-6|=6-p

The absolute value of a number is always more than or equal to zero so:

|p-6| ≥ \geq 0 and therefore 6-p is also greater than or equal to zero.

6-p ≥ \geq 0

6 ≥ \geq p

p ≤ \leq 6

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