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  1. Solve

Ask by Ray Carter. in the United States
Mar 26,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The solution is or .

Solution

Solve the equation .
Solve the inequality by following steps:
  • step0: Solve the inequality by testing the values in the interval:
  • step1: Find the domain:
  • step2: Set the numerator and denominator of equal to 0
  • step3: Calculate:
  • step4: Determine the test intervals:
  • step5: Choose a value:
  • step6: Test the chosen value:
  • step7: The final solution is
  • step8: Check if the solution is in the defined range:
  • step9: Find the intersection:

    The solution to the inequality is .

Answered by UpStudy AI and reviewed by a Professional Tutor

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Simplify this solution

Mind Expander

To solve the inequality , we first identify the critical points where the expression equals zero or is undefined. The numerator when , and the denominator is undefined. This gives us two key points: and .
Next, we test intervals based on these points. For , choosing gives , which is true. Between and , choosing results in a negative expression. Lastly, for , choosing yields , which is also true. Thus, the solution set is .

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