Question

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

Answer 1

a = 6

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