Answer :
The inequality that shows the scores Miriam could get to pass her math class is [tex]82\%\leq x \leq 100\%[/tex]
Solution:
Given that To pass this year's math class, Miriam needs to earn at least an 82%
To find: Inequality that shows the scores Miriam could get to pass her math class
Let "x" be the Miriam's score in the math class
Given she should score at least 82 %
Therefore, we can frame a inequality as:
[tex]x\geq 82 \%[/tex]
Here we used "greater than or equal to" , because she can score 82 % or more than 82 % also
The maximum score is 100 %
Hence we can frame a inequality as:
[tex]x\leq 100 \%[/tex]
Here, we used "less than or equal to" , because she can score the maximum score of 100 % or less than 100 %
Combining both the inequalities we get,
[tex]82\%\leq x \leq 100\%[/tex]
All real numbers greater than or equal to 82% and less than or equal to 100%
Thus the required inequality is found