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PSAT/NMSQT
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Threshold of Study Hours for Exam Score

Very Hard Heart Of Algebra Linear Equations And Inequalities

Maria is examining the relationship between the number of hours she studies each week, denoted as $h$, and her score on a standardized exam, denoted as $s$. After conducting a survey, she finds that the score can be represented by the linear equation:

$$ s = 5h + 60 $$

Additionally, she notices a threshold below which it is not feasible to achieve a passing score of at least 80 on the exam. This threshold is defined by the inequality:

$$ s < 80 $$

If Maria studies for $h$ hours, what is the maximum number of hours she can study while still ensuring her exam score remains below 80?

Hint

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