Precal, Inequalities involving absolute value

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SUMMARY

The discussion focuses on expressing the interval (-4, 4) as an inequality involving absolute value. The correct representation is |x| < 4, which directly corresponds to the interval notation. The participant confirmed that their final answer was accurate and that step 2 was unnecessary, as step 3 sufficiently captures the requirement of involving absolute value.

PREREQUISITES
  • Understanding of interval notation
  • Basic knowledge of inequalities
  • Familiarity with absolute value concepts
  • Experience with algebraic expressions
NEXT STEPS
  • Study the properties of absolute value inequalities
  • Learn how to convert between interval notation and inequality notation
  • Explore advanced topics in inequalities, such as compound inequalities
  • Practice problems involving absolute value in various contexts
USEFUL FOR

Students studying algebra, educators teaching inequalities, and anyone looking to strengthen their understanding of absolute value concepts in mathematics.

name_ask17
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Homework Statement



DIRECTIONS: Express the intercal in terms of an inequality involving absolute value.
PROBLEM: (-4, 4)
MY STEPS:
1: (-4, 4)
2: -4<x<4
3: |x|< 4 MY ANSWER
Is that correct? Is step 3 correct? The only reason that I included that part is becuase it says "Involving absolute value," but I am not sure if that is what the question is really asking. Please advise if you can. Thank you in advance.
 
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hi name_ask17! :wink:

yes, that's fine :smile:

(and step 3 is obvious from step 1, you don't need step 2)​
 
lol. thanks tiny tim!
 

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