[45] The solution set of the equation ∣𝑥–1∣=𝑥–1∣x–1∣=x–1 is the set of all values of 𝑥x such that:

Question

[45] The solution set of the equation ∣𝑥–1∣=𝑥–1∣x–1∣=x–1 is the set of all values of 𝑥x such that:
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Solution 1

The equation given is |x - 1| = x - 1.

The absolute value function |x - 1| can be split into two cases:

  1. When (x - 1) is positive or zero, |x - 1| = x - 1. This means x - 1 ≥ 0, so x ≥ 1.

  2. When (x - 1) is negative, |x - 1| = -(x - 1). However, this case will not give us a solution because if Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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