Question

To pass this year's math class, Miriam needs to earn at least an 82%. Write an inequality that shows the scores Miriam could get to pass her math class.

Answer 1

The inequality that shows the scores Miriam could get to pass her math class is
`82\%\leq x \leq 100\%`

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:

`x\geq 82 \%`

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:

`x\leq 100 \%`

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,

`82\%\leq x \leq 100\%`

All real numbers greater than or equal to 82% and less than or equal to 100%

Thus the required inequality is found