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For which value of a does 4 = a +| x – 4| have no solution?
-6
0
4
6

Sagot :

chetankachana

Answer:

a = 6

Step-by-step explanation:

Hello!

First, let's isolate the Absolute Value bracket.

  • 4 = a + |x - 4|
  • 4 - a = |x - 4|

Based on the definition of Absolute value, the outcome should always be a positive number. Therefore, if the product, 4 - a, is a negative number, it will have no solutions.

That means a has to be greater than 4 for it to be negative. a should be 6.

a = 6

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