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a school requires that all students maintain a grade point average (gpa) of at least 2.0 but cannot exceed a 5.0 gpa, to be considered in good standing. write a compound inequality to represent a student who remains in good standing.
answer attempt 3 out of 99
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Step1: Define variable for GPA
Let $g$ represent a student's GPA.
Step2: Set minimum GPA condition
The minimum GPA is 2.0, so $g \geq 2.0$.
Step3: Set maximum GPA condition
The maximum GPA is 5.0, so $g \leq 5.0$.
Step4: Combine into compound inequality
Merge the two inequalities into one statement.
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$2.0 \leq g \leq 5.0$