exercises $$ 5-8 $$, write an inequality to represent the situse ine use the inequality to answer the question. A dental appointment consists of the registration proces5 and the dental examination. The total length of the appointment is no more than 45 minutes If registration takes 10 minutes, how much time could the dental examination d take?

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Let $$ x $$ represent the time (in minutes) for the dental examination.

1. The total appointment time is no more than 45 minutes. Since the registration takes 10 minutes, the remaining time for the dental examination must satisfy:
   $$
   10 + x \leq 45
   $$
   
2. To solve for $$ x $$, subtract 10 from both sides:
   $$
   x \leq 45 - 10
   $$
   
3. Simplify:
   $$
   x \leq 35
   $$
   
Thus, the dental examination can take at most 35 minutes.
The dental examination can take up to 35 minutes.

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