Answered

Discover new information and get your questions answered with IDNLearn.com. Our Q&A platform offers reliable and thorough answers to ensure you have the information you need to succeed in any situation.

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

Sagot :

Chetankachanaidn

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

Thank you for being part of this discussion. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Thank you for visiting IDNLearn.com. We’re here to provide dependable answers, so visit us again soon.