text: # Chapter 3 - Solving Inequalities - 3-7 Absolute Value Equations and Inequalities - Practice and Problem-Solving Exercises - Page 211: 25
  
  f=−2 or f=1.5
  
  #### Work Step by Step
  
  |4f+1|−2=5⟶ add 2 to each side |4f+1|−2+2=5+2⟶ add |4f+1|=7⟶ definition of absolute value 4f+1=−7 or 4f+1=7⟶ solve each equation 4f+1=−7⟶ subtract 1 from each side 4f+1−1=−7−1⟶ subtract 4f=−8⟶ divide each side by 4 4f÷4=−8÷4⟶ divide f=−2 OR 4f+1=7⟶ subtract 1 from each side 4f+1−1=7−1⟶ subtract 4f=6⟶ divide each side by 4 4f÷4=6÷4⟶ divide f=1.5
  
  After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
explanation: The document appears to be a solution to a math problem from a textbook, specifically from Chapter 3, Section 3-7, which deals with absolute value equations and inequalities. The problem is to solve the equation \( |4f + 1| - 2 = 5 \). The solution is provided step-by-step, leading to the final answers \( f = -2 \) or \( f = 1.5 \).
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: # Chapter 3 - Solving Inequalities - 3-7 Absolute Value Equations and Inequalities - Practice and Problem-Solving Exercises - Page 211: 25
  
  f=−2 or f=1.5
  
  #### Work Step by Step
  
  |4f+1|−2=5⟶ add 2 to each side |4f+1|−2+2=5+2⟶ add |4f+1|=7⟶ definition of absolute value 4f+1=−7 or 4f+1=7⟶ solve each equation 4f+1=−7⟶ subtract 1 from each side 4f+1−1=−7−1⟶ subtract 4f=−8⟶ divide each side by 4 4f÷4=−8÷4⟶ divide f=−2 OR 4f+1=7⟶ subtract 1 from each side 4f+1−1=7−1⟶ subtract 4f=6⟶ divide each side by 4 4f÷4=6÷4⟶ divide f=1.5
  
  After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document appears to be a solution to a math problem from a textbook, specifically from Chapter 3, Section 3-7, which deals with absolute value equations and inequalities. The problem is to solve the equation \( |4f + 1| - 2 = 5 \). The solution is provided step-by-step, leading to the final answers \( f = -2 \) or \( f = 1.5 \).
  
  Label: question-and-answer